1. If f(x) = tan x + cos 2x + 3sin 3x + 4sec 4x + 5 cot 5x + 6 csc 6x, find f(pi/6).
2. If sin theta = 5/6 and theta is in quadrant 1, find cos theta.
3. If sin theta = 5/6 and theta is in quadrant 2, find cos theta.
4. In a right triagle the length of the hypotnuse is given by the (square root of x^2 + x) and the length of one of the legs is given by (square root x + 1). What is the length of the other leg.
5. In a right triangle the length of a leg is 10, and the angle between that leg and the hypotnuse is 40°. FInd the length of the hypotnuse and the other leg.
6. Solve for x: sin(2x) = 2sin(x)
7. Simplify: sec^2(x)(1-sin^2(x))