Answer:
(identity has been verified)
Explanation:
Verify the following identity:
tan(x)/sec(x) = sin(x)
Hint: | Eliminate the denominator on the left hand side.
Multiply both sides by sec(x):
tan(x) = ^?sec(x) sin(x)
Hint: | Express both sides in terms of sine and cosine.
Write secant as 1/cosine and tangent as sine/cosine:
sin(x)/cos(x) = ^?1/cos(x) sin(x)
Hint: | Come to a conclusion.
The left hand side and right hand side are identical:
Answer: (identity has been verified)