# Homework Help: Simplify Trigonometric Expression

1. Mar 11, 2013

### pbonnie

1. The problem statement, all variables and given/known data
Simplify the following trigonometric expression:
cscθtanθsecθ

2. Relevant equations
tanθ = sinθ/cosθ
sin^2θ + cos^2θ = 1
cscθ = 1/sinθ
secθ = 1/cosθ
cotθ = 1/tanθ

3. The attempt at a solution
I just want to double check my solution.
cscθtanθsecθ = 1/sinθ x sinθ/cosθ x 1/cosθ
= ((sin^2θ + cos^2θ) x sinθ x 1)/sinθ x cosθ x cosθ
= sin^2θ x 1
= sin^2θ

Thank you!

2. Mar 11, 2013

### Staff: Mentor

You're OK to here, but not below. Why not simplify by doing some cancelling?

3. Mar 11, 2013

### Staff: Mentor

What you have above isn't incorrect, but it isn't helpful, either. I don't know how you got the line that follows (sin^2θ x 1) from this.

4. Mar 11, 2013

### pbonnie

Hmm okay would I cancel out the sinθ in 1/sinθ x sinθ/cosθ x 1/cosθ so it simplifies to 1/cos^2θ?

5. Mar 11, 2013

### Staff: Mentor

Yes.

6. Mar 11, 2013

### pbonnie

Oh okay. Thanks :)