Question
Asked Oct 20, 2019
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Prove that the following identity is true.
1sin x
cos X
= 2 sec x
1sin x
coS X
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Prove that the following identity is true. 1sin x cos X = 2 sec x 1sin x coS X

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Expert Answer

Step 1

The given identity is,

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1+sin x cosx -2 sec 1+sin x cosx

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Step 2

Consider the LHS of the given equation.

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1+sinx cosx LHS= 1 sinx cos x cos x (1+sinx) (1+ sinx)cos.x cos2 x+12 sinx + sin2x (1sin x) cos x 2 2 sinx (1+sin x) cos.x

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Step 3

Further simplify the equ...

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2(1+sinx) LHS (1+sinx) cosx 2 cos x 2 secx =RHS

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Tagged in
MathTrigonometry

Trigonometric Ratios