# Math Help - trig identities

1. ## trig identities

Hi all I’m stuck again on another trig identity problem , I would be grateful for any help Thanks
Verify the following

Cot θ cos θ+ tan θ sin θ = (cosec θ+sec θ)(1-sin θ cos θ)

I’ve been trying for ages and seem to be going round in circles
Kind regards
John

2. Cot θ cos θ+ tan θ sin θ

= (cosθ/sinθ)cosθ + (sinθ/cosθ)sinθ

= [cos^3(θ) + sin^3(θ)]/sinθcosθ

Factorize the numerator and simplify.

3. I cant remeber how to factorise (cos^3 + Sin^3)

4. $a^3 + b^3 = (a + b)(a^2 - ab + b^2)$