Solve frac{(sin theta+cos theta)}{cos theta}+frac{(sin theta-cos theta)}{cos theta}

Joni Kenny 2021-03-04 Answered
Solve (sinθ+cosθ)cosθ+(sinθcosθ)cosθ
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Expert Answer

Layton
Answered 2021-03-05 Author has 89 answers
sin(θ)+cos(θ)cos(θ)+sin(θ)cos(θ)cos(θ)=
Apply rule ac±bc=a±bc
=(sin(θ)+cos(θ)+sin(θ)cos(θ)cos(θ)
=2sin(θ)cos(θ)
Use the following identity: sin(x)cos(x)=tan(x)
=2tan(θ)
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