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Verify that sin 2x = 2 cot x sin2 x is an identity

Verify that sin 2x = 2 cot x sin2 x is an identity-example-1
User Leostiw
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1 Answer

4 votes

Answer:

see explanation

Explanation:

Verifying that the left side equals the right side

left side = sin2x = 2sinxcosx

Consider the right side

2cotxsin²x

= 2 ×
(cosx)/(sinx) × sin²x ← cancel sinx on numerator/ denominator

= 2cosxsinx = left side ⇒ verified

User Scottymeuk
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