Question
Asked Dec 9, 2019
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2x, given tan x= 2 and cos x is less than 0

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Expert Answer

Step 1

Given tan x = 2 and cos x < 0.

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To Find: sin 2x

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Step 2

The Trigonometric identities to be used:

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1+ tan? x = -(1) cos? x sin? x + cos? x = 1 .... (2) sin 2x = 2 sin x cos x.. (3)

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Step 3

Given tan x = 2. First fi...

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1+ tan? x = cos? x 1+(-2)² cos? x cos? x cos? x = cos x = + V5 Since, cos x< 0 cos x = V5 COS X

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Tagged in
MathTrigonometry

Trigonometric Ratios