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

Isa Trevino 2021-02-25 Answered
Solve the equation sin2θ/cosθ=secθcosθ
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Expert Answer

Roosevelt Houghton
Answered 2021-02-26 Author has 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
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