Verify the identity.cos 4? = 2 cos2(2?) - 1

What will be an ideal response?


cos 4? = cos[2(2?)] = 2 cos2(2?) - 1

Mathematics

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Solve the problem.April shoots an arrow upward into the air at a speed of 64 feet per second from a platform that is 21 feet high. The height of the arrow is given by the function h(t) = -16t2 + 64t + 21, where t is the time is seconds. What is the maximum height of the arrow?

A. 17 ft B. 85 ft C. 64 ft D. 21 ft

Mathematics

Use algebraic and/or graphical methods to solve the inequality.(x + 1)(x - 3)(x - 8) > 0

A. x < -1 or 3 < x < 8 B. x > 8 C. x < 3 D. -1 < x < 3 or x > 8

Mathematics

Determine whether the test point is a solution to the linear inequality.(2, 5), y ? 5

A. Yes B. No

Mathematics

Indicate whether the statement is true always, sometimes, or never.The product of two imaginary numbers is a real number.

A. Always B. Sometimes C. Never

Mathematics