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(1-cos^4theta)=?
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Answer:
sin^4 θ
Please refer to the picture!
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Answer:
(1 - Cos⁴θ) = 2Sin²θ - Sin⁴θ
Step-by-step explanation:
(1 - Cos⁴θ)
= (1² - (cos²θ)²)
using a² - b² = (a + b) (a - b)
a = 1 b = Cos²θ
= ( 1 + Cos²θ)( 1 - Cos²θ)
1 - Cos²θ = Sin²θ
= ( 1 + Cos²θ)Sin²θ
= (1 + 1 - Sin²θ)Sin²θ
= (2 - Sin²θ)Sin²θ
= 2Sin²θ - Sin⁴θ
(1 - Cos⁴θ) = 2Sin²θ - Sin⁴θ
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