5. Inverse Trigonometric Functions and Basic Trigonometric Equations

In Exercises 1–10, use substitution to determine whether the given x-value is a solution of the equation. __ √ 2 𝝅cos x = ------- , x = ------ 2 4

In Exercises 1–10, use substitution to determine whether the given x-value is a solution of the equation. __ √ 3 𝝅sin x = ------- , x = ------- 2 6

In Exercises 1–10, use substitution to determine whether the given x-value is a solution of the equation. 1 2𝝅cos x = ﹣ ------- , x = --------- 2 3

In Exercises 1–10, use substitution to determine whether the given x-value is a solution of the equation. __ √ 3 5𝝅tan 2x = ﹣--------- , x = --------- 3 12

In Exercises 11–24, find all solutions of each equation. __ √ 3sin x = ------- 2

In Exercises 11–24, find all solutions of each equation.tan x = 1

In Exercises 11–24, find all solutions of each equation. 1cos x = ﹣------- 2

In Exercises 11–24, find all solutions of each equation.tan x = 0

In Exercises 11–24, find all solutions of each equation. __2 cos x + √ 3 = 0

In Exercises 11–24, find all solutions of each equation. 4 sin θ﹣1 = 2 sin θ

In Exercises 11–24, find all solutions of each equation.3 sin θ + 5 = ﹣2 sin θ

Exercises 39–52 involve trigonometric equations quadratic in form. Solve each equation on the interval [0, 2𝝅). 2 sin² x - sin x - 1 = 0

Exercises 39–52 involve trigonometric equations quadratic in form. Solve each equation on the interval [0, 2𝝅). 2 cos² x + 3 cos x + 1 = 0

Exercises 39–52 involve trigonometric equations quadratic in form. Solve each equation on the interval [0, 2𝝅). 2 sin² x = sin x + 3