Question
Asked Dec 12, 2019
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verify each identity:

1                 = 1 + tan2x

1-sin2x

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Expert Answer

Step 1

First of all, consider the given identity to prove.

The given equation is an identity.

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=1+ tan².r 1- sin²x LHS : 1-sin? r RHS =1+tan²x

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Step 2

Now, consider only the LHS.

Use trigonometric ide...

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As sin?x + cos² x = 1 sin'x – sin?x + cos x =1- sin?x Therefore, cos'x =1- sin?x LHS 1-sin?x 1 (put the value of 1– sin’x) LHS cos x

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Tagged in

Math

Calculus