Solve the equation frac{sin^{2}theta/}{cos theta}= sec theta-cos theta

Isa Trevino

Isa Trevino

Answered question

2021-02-25

Solve the equation sin2θ/cosθ=secθcosθ

Answer & Explanation

Roosevelt Houghton

Roosevelt Houghton

Skilled2021-02-26Added 106 answers

Work with the left side. Use the Pythagorean identity:
sin2θ+cos2θ=1
sin2θcosθ=1cos2θcosθ
Separate as:
sin2θcosθ=1/cosθcos2θcosθ
sin2θcosθ=1cosθcosθ
Use the reciptiocal identity: secθ=1cosθ
sin2θcosθ=secθcosθ

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?