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Standard Values of Trigonometric Ratios

If Sin A+Sin2...

Question

If SinA +Sin²A=1
prove that cos²A+cos⁴ A=1

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Solution

Given
sina+sin^2a=1

⇒sina=1−sin^2a

⇒sina=cos^2a

⇒sin^2a=cos^4a

⇒1−cos^2a=cos^4a

⇒cos^2a+cos^4a=1

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