ADVANCED EXERCISES - Trigonometric Identities and Solving Equations

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(1) Solve for x, where 0 x 2.

1. |sin x| = 1/2

2. 2x(sin x) = x

3. 2cos² x = 1 - cos x

( Click On HINT To Get Some Help , Click On SOLUTION To See The Answer )

(2) Simplify each expression to the form of one trigonometric function or a constant.

1. (sec² - 1) / (sec²)

2. 2 sin 3 cos 3

3. (2cos² x - 1)/sin 2x

( HINT , SOLUTION )

(3) Write cos(3x) in terms of cos x.

( HINT , SOLUTION )

(4) Simplify the following expressions for the given values of x and .

1. , where x = tan and 0 < /2

2. x / , where x = sin and 0 < /2

( HINT , SOLUTION )

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