Math, asked by LINAKKT123, 11 months ago

[sin 4 theta - cos 4 theta + 1] = 2 sin theta

Answers

Answered by ItsMansi
1

Answer:

Heyaa

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Answered by bpnboruah
0

Hi there

We have

Sin⁴∅ - cos⁴∅

To prove ⇒ 1 - 2cos²∅

Proof :-

From :- LHS

sin⁴∅ - cos⁴∅

⇒ ( sin²∅) ² - ( cos²∅ ) ²

⇒ ( sin²∅ + cos²∅ ) ( sin²∅ - cos²∅ )

[ since , ( a + b ) ( a- b ) = a² - b² ]

and [ sin²∅ + cos²∅ = 1 ]

⇒ so, ( 1 ) ( 1 - cos²∅ - cos ²∅ )

[ since 1- cos²∅ = sin²∅ ]

⇒ 1 - 2 cos²∅ [ This is what we had to proof ]

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