SOLUTION: Match each of the trigonometric expressions below with the equivalent non-trigonometric function from the following list. Enter the appropriate letter (A, B, C, D, or E) in each b
Question 1083906: Match each of the trigonometric expressions below with the equivalent non-trigonometric function from the following list. Enter the appropriate letter (A, B, C, D, or E) in each blank.
A. tan(sin−1(x/5))
B. cos(sin−1(x/5))
C. (1/2)sin(2sin−1(x/5))
D. sin(tan−1(x/5))
E. cos(tan−1(x/5))
B. is .
1. Let = .
Then is the angle in Q1 (if x >= 0) or in QVI (if x < 0).
In any case, = and is positive.
2. Since = , it implies that
= = = = .
So, it matches with #2).
Actually, each of the rest cases is solved in a similar way.