ryankutnowsky31 ryankutnowsky31

17-05-2020
Mathematics

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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 class=

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jimrgrant1 jimrgrant1

17-05-2020

Answer:

see explanation

Step-by-step explanation:

Verifying that the left side equals the right side

left side = sin2x = 2sinxcosx

Consider the right side

2cotxsin²x

= 2 × [tex]\frac{cosx}{sinx}[/tex] × sin²x ← cancel sinx on numerator/ denominator

= 2cosxsinx = left side ⇒ verified

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