Math, asked by vickytanwar0908, 26 days ago

प्रगति
cot 4x(sin 5x + sin 3x)
cot x(sin 5x - sin 3x)
= 1

Answers

Answered by freef3497

0

Step-by-step explanation:

LHS :

cot4x(sin5x+sin3x)

=cot4x×2sin(

2

5x+3x

)cos(

2

5x−3x

)

=

sin4x

cos4x

×2sin4xcosx=2cos4xcosx

RHS :

cotx(sin5x−sin3x)

=cotx×2sin(

2

5x−3x

)cos(

2

5x+3x

)

=

sinx

cosx

×2sinxcos4x=2cos4xcosx

Thus, LHS = RHS

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