Applying Trig Functions to Angles of Rotation
Topic Page
Applying Trig Functions to Angles of Rotation
Questions
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How do you determine the values of the six trigonometric functions of the angle if the point (-3, 4) is a point on the terminal side of an angle in standard position?
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What is the unit circle?
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How do you find values for the six trigonometric functions for angles of rotation?
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How do you find sine, cosine, tangent of #90^@# or #180^@# using the unit circle?
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Why is the unit circle and the trig functions defined on it useful, even when the hypotenuses of triangles in the problem are not 1?
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If the point (-5, -12) is a point on the terminal side of an angle in standard position, how do you find the radius of the circle?
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If #tan theta=2/3# and #cos theta >#, how do you find #sin theta#?
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In what quadrants will an angle in standard position have a positive tangent value?
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How is #150^@# related to #30^@# on the unit circle?
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Question #71ba9
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If cos^2 θ = (m^2 - 1)/3 and tan^3 (θ/2) = tan α, then prove that sin^(2/3) α + cos^(2/3) α = (2/m)^(2/3)?
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If #cot x=(2n^2+2mn)/(m^2+2mn)# then find #cscx#?
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A Ferris wheel 50ft in diameter makes one revolution every 40sec. If the center of the wheel is 30ft above the ground, how long after reaching the low point is a rider 50ft above the ground?
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How do you find the reference angle for -515 degrees?
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How do you find the reference angle for 315 degrees?
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How do you find the reference angle for -440 degrees?
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How do you find the reference angle for #-(3pi)/4#?
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How do you find the reference angle for #(25pi)/4#?
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How do you find the reference angle for #-(11pi)/3#?
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Question #d526c
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Question #00111
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If the angle #100^circ# is in standard position, which quadrant does it terminate?
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If the angle #500^circ# is in standard position, which quadrant does it terminate?
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If the angle #10# is in standard position, which quadrant does it terminate?
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If the angle #(29pi)/6# is in standard position, which quadrant does it terminate?
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How do you determine the measure of an angle coterminal with the angle #400^circ#?
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How do you determine the measure of an angle coterminal with the angle -3 radians?
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What are the coordinates for the point #p((5pi)/6)# where #p(theta)=(x,y)# is the point where the terminal arm of an angle #theta# intersects the unit circl?
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What are the coordinates for the point #p(45^circ)# where #p(theta)=(x,y)# is the point where the terminal arm of an angle #theta# intersects the unit circl?
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What are the coordinates for the point #p((11pi)/3)# where #p(theta)=(x,y)# is the point where the terminal arm of an angle #theta# intersects the unit circl?
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Urgent! There is a ferris wheel of radius 30 feet. When the compartments are at their lowest, it is 2 feet off the ground. The ferris wheel makes a full revolution in 20 seconds. Using a cosine function, write an equation modelling the height of time?
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How do you find the values of #theta# given #sintheta=1/2#?
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How do you find the values of #theta# given #csctheta=2#?
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How do you find the values of #theta# given #costheta=sqrt2/2#?
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How do you find the values of #theta# given #tantheta=1#?
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How do you find the values of #theta# given #sectheta=2#?
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How do you find the values of #theta# given #cottheta=1#?
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How do you find the values of #theta# given #tantheta=sqrt3#?
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How do you find the values of #theta# given #costheta=1#?
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How do you find the values of #theta# given #costheta=1/2#?
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How do you find the values of #theta# given #csctheta=(2sqrt3)/3#?
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How do you find the values of #theta# given #sintheta=sqrt2/2#?
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How do you find the values of #theta# given #cottheta=sqrt3/3#?
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How do you find the values of #theta# given #sectheta=sqrt2#?
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How do you sketch the angle in standard position #(2pi)/9#?
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How do you sketch the angle in standard position #-(23pi)/3#?
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How do you use #sintheta=1/3# to find #csctheta#?
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How do you use #sintheta=1/3# to find #costheta#?
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How do you use #sintheta=1/3# to find #sectheta#?
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How do you use #sintheta=1/3# to find #tantheta#?
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How do you use #tantheta=4# to find #cottheta#?
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How do you use #tantheta=4# to find #sectheta#?
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How do you use #tantheta=4# to find #costheta#?
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How do you use #tantheta=4# to find #csctheta#?
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How do you use #csctheta=4# to find #sintheta#?
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How do you use #csctheta=4# to find #costheta#?
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How do you use #csctheta=4# to find #sectheta#?
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How do you use #csctheta=4# to find #tantheta#?
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How do you use #csctheta=5# to find #sintheta#?
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How do you use #csctheta=5# to find #cottheta#?
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How do you use #csctheta=5# to find #tantheta#?
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How do you use #csctheta=5# to find #sec(90^circ-theta)#?
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How do you find the exact value of the six trigonometric functions of the angle whose terminal side passes through (12,16)?
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How do you find the exact value of the six trigonometric functions of the angle whose terminal side passes through #(3,-4)#?
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How do you find the exact value of the six trigonometric functions of the angle whose terminal side passes through #(2/3, 5/2)#?
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How do you find the exact value of the six trigonometric functions of the angle whose terminal side passes through #(-10/3, -2/3)#?
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How do you find the exact value of the six trigonometric functions of the angle whose terminal side passes through #(-0.5, 4.5)#?
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How do you find the exact value of the six trigonometric functions of the angle whose terminal side passes through #(0.3, 0.4)#?
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How do you find the exact value of the six trigonometric functions of the angle whose terminal side passes through #(x, 4x)#?
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How do you find the exact value of the six trigonometric functions of the angle whose terminal side passes through #(-2x, -3x)#?
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How do you find the five remaining trigonometric function satisfying #sectheta=6/5#, #tantheta<0#?
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How do you find the five remaining trigonometric function satisfying #csctheta=-3/2#, #costheta<0#?
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How do you find the five remaining trigonometric function satisfying #tantheta=5/4#, #costheta<0#?
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How do you find the five remaining trigonometric function satisfying #sintheta=3/8#, #costheta<0#?
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How do you find the five remaining trigonometric function satisfying #tantheta=-12/5#, #sintheta>0#?
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How do you find the five remaining trigonometric function satisfying #costheta=-2/5#, #sintheta>0#?
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A Ferris wheel has a radius of 80 feet. Two particular cars are located such that the central angle between them is 165. To the nearest tenth, what is the length of the intercepted arc between those two cars on the Ferris wheel?
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How do you find the #sintheta# for an angle in standard position if the terminal side passes through the point (-2, -5)?
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What is the reference angle in degrees for #(31pi)/6# ?
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How do you find the sin(Θ) of an angle in standard position if the terminal side passes through the point (4, -8)?
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How do you name an angle between #0^circ# and #360^circ# that is coterminal with the angle #-135^circ#?
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How do you name an angle between #0^circ# and #360^circ# that is coterminal with the angle #-60^circ#?
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How do you name an angle between #0^circ# and #360^circ# that is coterminal with the angle #-210^circ#?
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How do you name an angle between #0^circ# and #360^circ# that is coterminal with the angle #-300^circ#?
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How do you draw #300^circ# in standard position and find one positive and one negative angle that is coterminal to the given angle?
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How do you draw #-330^circ# in standard position and find one positive and one negative angle that is coterminal to the given angle?
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How do you find the coterminal with the angle #30^circ#?
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How do you find the coterminal with the angle #-135^circ#?
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How do you find the coterminal with the angle #-45^circ#?
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Question #c2afe