ADVANCED EXERCISES - Trigonometric Identities and Solving Equations


(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 )

Introductory Exercises Moderate Exercises
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