Answers edited by Dean R.

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• How do you find the exact value of `cos 36^@` using the sum and difference, double angle or half angle formulas?
  
• How do you find the amplitude, period, phase shift given `y=2csc(2x-1)`?
  
• How many teams can you make from 131 people if there are 7 people in a team?
  
• If the diameter of a circle is `1.3*10^-12` meters, then what is its radius?
  
• Let sin(4x-1=cos(2x+7) write and solve an equation to the value of x?
  
• How long is the third side of a right-angled triangle, if the hypotenuse is `13`cm and the shortest side is `5`cm?
  
• How do you combine like terms in `3\log x + \log _ { 4} - \log x - \log 6`?
  
• Find the equation of the tangent to the curve y= 2-√x perpendicular to the straight line y+4x-4=0 ?
  
• How to solve 2×exp(x)+2x-7=0 ?
  
• How to find h in terms of x?
  
• How do you find the quotient of `(x^3+3x^2-3x-2)div(x-1)` using long division?
  
• Simplify completely: `1 - 2sin​^2 20°`​ ?
  
• Someone explain?
  
• Prove `(sin x - csc x)^2 = sin^2x + cot^2x - 1.` Can anyone help me on this?
  
• If A+B+C=90° then prove that `sin^2 (A/2)+sin^2 (B/2) + sin^2 (C/2) = 1-2sinA.sinB.sinC` ?
  
• What is the vertex of `y = 2x^2 + 8x +5`?
  
• Please help!!! this is a multiple choice. determine the minimum value of the function f(x)=e^(-x)-2e^x on the interval -1≤x≤2.?
  
• A triangle has corners at `(2 , 5 )`, ( 1, 3 )`, and`( 8, 1 )#. What are the endpoints and lengths of the triangle's perpendicular bisectors?
  
• Use DeMoivre's Theorem to find the twelfth (12th) power of the complex number, and write result in standard form?
  
• How do you find the axis of symmetry and vertex point of the function: `y=2x^2 + 1`?
  
• Please help me in this writing ???
  
• A line segment has endpoints at `(a, b)` and `(c, d )`. The line segment is dilated by a factor of `r` around `(p,q )`. What are the new endpoints and length of the line segment?
  
• What is the distance from the origin to the point on the line `y=-2x+5` that is closest to the origin?
  
• How do you divide `(9i-5) / (-2i+6)` in trigonometric form?
  
• Quadratics question?
  
• How do I solve 2sinx = cos (x/3)?
  
• What is the centroid of a triangle with vertices at `(a, b)`, `(c, d)`, and `(e, f)`?
  
• A triangle has corners at `(4 , 1 )`, ( 2, 4 )`, and`( 0, 2 )#. What are the endpoints of the triangle's perpendicular bisectors?
  
• An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from `(7 ,1 )` to `(2 ,9 )` and the triangle's area is `32`, what are the possible coordinates of the triangle's third corner?
  
• A triangle has corners at `(5 , 5 )`, `(9 ,4 )`, and `(1 ,8 )`. What is the radius of the triangle's inscribed circle?
  
• Barfield is 7km north and 8km east of Westgate. The bearing to get from Westgate to Barfield is 041.2, and Lauren sails at a bearing of 043. She stops when she is due North of Barfield. How far away is she from Barfield?
  
• How do you solve cos2θ+3cosθ+2=0 ?
  
• Tan3x=3Tanx-Tan^3x by 1-3tan^2x Prove it?
  
• Triangle A has an area of `15` and two sides of lengths `4` and `9`. Triangle B is similar to triangle A and has a side of length `7`. What are the maximum and minimum possible areas of triangle B?
  
• What is `cos[sin^(-1)(-1/2 ) + cos^(-1)(5/13) ]`?
  
• How to verify Cos2x/(1+sin2x)=tan(pi/4-x)?
  
• Can we write bar35 or (353535.....) In form of p/q where q is not equal to 0 ? Thanks
  
• How do you rationalize the denominator and simplify `3/(sqrt5+sqrt6)`?
  
• How to solve 3sin2x+2cos2x=3? Is it possible to convert it to sinx=k?
  
• What is the distance between `(-4,-2,12)` and `(-4,3,-12)`?
  
• If the angle `10` is in standard position, which quadrant does it terminate?
  
• A triangle has sides A, B, and C. Sides A and B have lengths of 10 and 8, respectively. The angle between A and C is `(13pi)/24` and the angle between B and C is `(pi)24`. What is the area of the triangle?
  
• If `a^3+b^3=8` and `a^2+b^2=4` what is the value of `(a+b)`?
  
• How do you solve: sin2θ + cosθ = 0 between 0 and 2pi?
  
• How do you simplify `root3(1)`?
  
• A line segment has endpoints at `(9 ,3 )` and `(5 ,4 )`. The line segment is dilated by a factor of `3` around `(4 ,6 )`. What are the new endpoints and length of the line segment?
  
• Sin theta /x = cos theta /y then sin theta - cos theta=?
  
• How do you simplify `5sqrt(25t^2)`?
  
• Solve the eqn 25 cos x = 16 sin x tan x for 0 < or = x < or = 360. Could anyone help me on this?
  
• How do you solve `\frac{3}{2x-4}-\frac{2}{x^{2}-x-2}=\frac{9}{x+1}`?
  
• Each rectangle is 6cm long and 3cm wide, they share a common diagonal of PQ. How do you show that `tanalpha = 3/4`?
  
• 1+tanA/sinA+1+cotA/cosA=2(secA+cosecA)?
  
• How do you find the area of a triangle given two sides?
  
• Solve the triangle? when A = 24.3 B = 14.7 C = 18.7
  
• Given `costheta=24/25` and `270<theta<360`, how do you find `cos(theta/2)`?
  
• How do you find the exact value of `cos58` using the sum and difference, double angle or half angle formulas?
  
• An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from `(1 ,4 )` to `(5 ,1 )` and the triangle's area is `15`, what are the possible coordinates of the triangle's third corner?
  
• Sin^4x -cos^4x= cos3x Could you solve this?
  
• A triangle has corners at `(7 ,2 )`, `(6 ,7 )`, and `(3 ,5 )`. How far is the triangle's centroid from the origin?
  
• If ABC is a triangle with sides a, b , c and opposite angles alpha, beta and gamma. If alpha=3*beta, prove that (a-b)^2*(a+b)=b*c^2?
  
• How do you simplify `(2a^2b^-7c^10)/(6a^-5b^2c^-3)`?
  
• How do you simplify 2cos^2(4θ)-1 using a double-angle formula?
  
• A triangle has corners A, B, and C located at `(3 ,5 )`, `(2 ,9 )`, and `(4 , 8 )`, respectively. What are the endpoints and length of the altitude going through corner C?
  
• How do I simplify sin(arccos(sqrt(2)/2)-arcsin(2x))?
  
• How do you solve the triangle if C=36 degrees, B=24, and a=9 cm?
  
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