Question

Use basic identities to simplify the expression.

cot θ sec θ sin θ 1. cot=1/tan
2. tan=sin/cos
3. sec=1/cos

Answer 1

To simplify the expression, we need the identities given:

1. cot=1/tan 
2. tan=sin/cos
3. sec=1/cos

cot θ sec θ sin θ = 1/tanθ(1/cosθ)sinθ
                              = (1/(sinθ/cosθ))(1/cosθ)sinθ
                              = (cosθ / sinθ) (1/cosθ)sinθ
                              = 1

The expression is equal to 1. Hope this answers the question. Have a nice day. Please feel free to ask for more questions.