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A sine wave function f(x) = a sin(bx) has amplitude 10 and period 40. What are the values of a and b? (A) a = 10 and b = 20/pi ( B) a = 10 and b = 1/40 (C) a = 10 and b = pi/20 (D) a = 10 and b = 40 E) None of the above.

How many solutions does the equation cos(x) + cos(−x) = 0 have if 0 < x < 2pi? (Radian measure is assumed for x.) (A) infinitely many (B) 1 (C) 2 (D) 3 (E) None of the above.

In a right triangle the hypotenuse has length 10 and the the sum of the cotangents of all three angles of the triangle equals 2. What are the lengths of the other two sides of the triangle? (A) 5 and 5p3 (B) 5p2 and 5p2 (C) 1 and3 p11 (D) 4 and 2p21 (E) N...

The tangent of an acute angle equals 1/2. What is the sine of the angle? (A) 1/p3 (B)p5/2 (C) 2/p5 (D) 1/p5 ( E) None of the above.