Power Reducing and Half Angle Formulas Worksheet with Answer Key

What's on the worksheet

1. Write each expression with no squares of trig functions, using the power reducing formulas.
   6\sin^2 5x\cos^2\left(x + \dfrac{\pi}{6}\right)\cos^2 3x\tan^2 3x, wherever \cos 3x \ne 0\sin^2 x - \cos^2\dfrac{x}{2}
2. Write each expression with no power of a trig function above the first.
   8\cos^4\dfrac{x}{2}(\sin x + \cos x)^4
3. Use a half angle formula to find the exact value of each.
   \sin 202.5^\circ\cos\dfrac{23\pi}{12}\tan\dfrac{9\pi}{8}\tan 292.5^\circ
4. The point (119, −120) lies on the terminal side of angle x in standard position, and -π2 < x < 0.
5. Write $f
6. A regular polygon with n sides is inscribed in a circle of radius 1.