cos^4 - sin^4 = 1- 2sin^2
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➡ cos⁴ ø - sin⁴ ø = 1 - sin² ø
- LHS = RHS....
➢ LHS = cos⁴ ø - sin⁴ ø
➡ cos⁴ ø - sin⁴ ø
➡ ( cos² ø)² - ( sin² ø)²
➡ ( cos² ø + sin² ø) ( cos² ø - sin² ø)
➡ ( cos² ø + sin² ø) ( cos² ø + sin²ø - 2 sin² ø)
- sin² ø + cos² ø = 1....
➡ (1) (1 - 2 sin² ø)
➡ 1 - sin² ø = RHS...
Therefore, it is proved....
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Step-by-step explanation:
℘ℓḙᾰṧḙ ❡!ṽḙ Պḙ ᾰ тℏᾰℵкṧ....
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