5. Inverse Trigonometric Functions and Basic Trigonometric Equations

In Exercises 63–84, use an identity to solve each equation on the interval [0, 2𝝅).cos 2x = cos x

In Exercises 63–84, use an identity to solve each equation on the interval [0, 2𝝅). __ √ 2sin x cos x = -------- 4

In Exercises 63–84, use an identity to solve each equation on the interval [0, 2𝝅).𝝅 𝝅sin ( x + ------ ) + sin ( x - ------ ) = 14 4

In Exercises 85–96, use a calculator to solve each equation, correct to four decimal places, on the interval [0, 2𝝅).sin x = 0.8246

In Exercises 85–96, use a calculator to solve each equation, correct to four decimal places, on the interval [0, 2𝝅). 2cos x = ﹣ ------ 5

In Exercises 85–96, use a calculator to solve each equation, correct to four decimal places, on the interval [0, 2𝝅).tan x = ﹣3

In Exercises 85–96, use a calculator to solve each equation, correct to four decimal places, on the interval [0, 2𝝅).cos² x - cos x - 1 = 0

In Exercises 85–96, use a calculator to solve each equation, correct to four decimal places, on the interval [0, 2𝝅).4 tan² x - 8 tan x + 3 = 0

In Exercises 85–96, use a calculator to solve each equation, correct to four decimal places, on the interval [0, 2𝝅).7 sin² x - 1 = 0

In Exercises 127–130, solve each equation on the interval [0, 2𝝅) by first rewriting the equation in terms of sines or cosines.csc² x + csc x - 2 = 0

In Exercises 127–130, solve each equation on the interval [0, 2𝝅) by first rewriting the equation in terms of sines or cosines.sec² x + 3 sec x + 2 = 0

In Exercises 50–53, find all solutions of each equation.1cos x = ﹣-----2

Exercises 25–38 involve equations with multiple angles. Solve each equation on the interval [0, 2𝝅).__√ 3sin 2x = --------2

Exercises 25–38 involve equations with multiple angles. Solve each equation on the interval [0, 2𝝅). __ √ 3cos 4x = ﹣ --------- 2

Exercises 25–38 involve equations with multiple angles. Solve each equation on the interval [0, 2𝝅).__√ 3tan 3x = ---------3