Question

Simplify sec(t) cot(t) to a single trig function.

a) csc(t)
b) tan(t)
c) sin(t)
d) cos(t)

Answer 1

To simplify sec(t) cot(t) to a single trig function, we can use the reciprocal identities and arrive at the answer c) csc(t).

Step-by-step explanation:

To simplify sec(t) cot(t) to a single trig function, we can use the reciprocal identities.

1. Recall that sec(t) is equal to 1/cos(t) and cot(t) is equal to 1/tan(t).
2. Multiplying 1/cos(t) and 1/tan(t), we get 1/(cos(t) * tan(t)).
3. Using the identity cos(t) * tan(t) = sin(t), we can simplify the expression to 1/sin(t), which is equivalent to csc(t).

Therefore, the correct answer is c) csc(t).