Proof trigonometric identities.\frac{1-\sin(-x)}{\cos x+\cos(-x)\sin x}=\sec x

Jerold 2021-09-07 Answered
Proof trigonometric identities.
1sin(x)cosx+cos(x)sinx=secx
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avortarF
Answered 2021-09-08 Author has 113 answers
Given :
1sin(x)cosx+cos(x)sinx=secx
Considering left-hand side 1sin(x)cosx+cos(x)sinx
Using sin(θ)=sinθ and cos(θ)=cosθ,
1sin(x)cosx+cos(x)sinx=1(sin(x))cosx+cos(x)sinx
1sin(x)cosx+cos(x)sinx=1+sin(x)cosx+cos(x)sinx
1sin(x)cosx+cos(x)sinx=1+sin(x)cosx(1+sinx)
1sin(x)cosx+cos(x)sinx=1cosx
Using secθ=1cosθ
1sin(x)cosx+cos(x)sinx=secx
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Jeffrey Jordon
Answered 2022-01-31 Author has 2262 answers

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