5. Inverse Trigonometric Functions and Basic Trigonometric Equations

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

Exercises 39–52 involve trigonometric equations quadratic in form. Solve each equation on the interval [0, 2𝝅). 4 cos² x - 1 = 0

Exercises 39–52 involve trigonometric equations quadratic in form. Solve each equation on the interval [0, 2𝝅). 9 tan² x - 3 = 0

Exercises 39–52 involve trigonometric equations quadratic in form. Solve each equation on the interval [0, 2𝝅). sec² x - 2 = 0

In Exercises 53–62, solve each equation on the interval [0, 2𝝅).(tan x - 1) (cos x + 1) = 0

In Exercises 53–62, solve each equation on the interval [0, 2𝝅)._(2 cos x + √ 3) (2 sin x + 1) = 0

In Exercises 53–62, solve each equation on the interval [0, 2𝝅). cot x (tan x - 1) = 0

In Exercises 53–62, solve each equation on the interval [0, 2𝝅). sin x + 2 sin x cos x = 0

In Exercises 53–62, solve each equation on the interval [0, 2𝝅). tan² x cos x = tan² x

In Exercises 63–84, use an identity to solve each equation on the interval [0, 2𝝅).sin² x - 2 cos x - 2 = 0

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