Math, asked by pujaritrisha14, 4 months ago

Find the value of 2tan2

a x 2cot2

a

Answers

Answered by farhaanaarif84

0

Answer:

As cotA−tanA=

sinA

cosA

−

cosA

sinA

=

sinAcosA

cos

2

A−sin

2

A

=2cot2A

⇒tanA=cotA−2cot2A

Our expression L.H.S becomes

cotA−2cot2A+2tan2A+4tan4A+8cot8A

=cotA−2(cot2A−tan2A)+4tan4A+8cot8A

=cotA−2(2cot4A)+4tan4A+8cot8A

=cotA−4(cot4A−tan4A)+8cot8A

=cotA−8cot8A+8cot8A

=cotA⇒k=1

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