Solve the problem.What happens if you set B = -2? in the angle sum formulas for the sine and cosine functions? Do the results agree with something you already know?
What will be an ideal response?
If B = -2?, then cos (A + B) = cos A and sin (A + B) = sin A. Because the period of both of the sine and cosine functions is 2?, if B is replaced by a multiple of 2? the angle sum formulas must produce the same value as the sine or cosine function.
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Provide an appropriate response.Which of the following statements defines f(x) = ??I. For every positive real number B there exists a corresponding ? > 0 such that f(x) > B whenever x0 - ? < x < x0 + ?.II. For every positive real number B there exists a corresponding ? > 0 such that f(x) > B whenever x0 < x < x0 + ?.III. For every positive real number B there exists a corresponding ? > 0 such that f(x) > B whenever x0 - ? < x < x0.
A. II B. I C. III D. None
Provide an appropriate response.Determine the general term of the sequence 5, 20, 80, 320, . . . .
A. an = 5 ? 4n B. an = 5 ? 4n-1 C. an = 5 ? 4(n-1) D. an = 4 ? 5n-1
Express the given trigonometric function in terms of the indicated function.sin ? in terms of cos ?
A.
B. ±
C. 1 - cos ?
D. ±
Find sec t given that sin t = and tan t > 0.
What will be an ideal response?