What is 5 csc θ - 3 = 2 ?

Solve the following trigonometric equations in the interval [0, 360˚] when the angle is named as a Greek letter and in the interval [0, 2π] when the angle is named as the variable x.

1 Answer
Jim G.
Mar 29, 2018

#theta=90^@#

Explanation:

#"using the "color(blue)"trigonometric identity"#

#•color(white)(x)csctheta=1/sintheta#

#5csctheta-3=2larrcolor(blue)"add 3 to both sides"#

#rArr5csctheta=5larrcolor(blue)"divide both sides by 5"#

#rArrcsctheta=1#

#rArr1/sintheta=1rArrsintheta=1#

#rArrtheta=sin^-1(1)=90^@to[0,360]#

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