Maharashtra State BoardHSC Science (General) 11th
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Prove the following: sin4θ +2sin2θ . cos2θ = 1 − cos4θ - Mathematics and Statistics

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Sum

Prove the following:

sin4θ +2sin2θ . cos2θ = 1 − cos4θ

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Solution

L.H.S. =sin4θ +2sin2θ . cos2θ

= sin2θ(sin2θ + 2cos2θ)

= (sin2θ) (sin2θ + cos2θ + cos2θ)

= (1 – cos2θ) (1 + cos2θ)

= 1 – cos4θ

= R.H.S.

Concept: Fundamental Identities
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APPEARS IN

Balbharati Mathematics and Statistics 1 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 2 Trigonometry - 1
Miscellaneous Exercise 2 | Q 10. (viii) | Page 34
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