Question

sin theta +sin^2 theta =1 then cos^2 theta +cos^4 theta is equal to​

Answer 1

▪︎Given:-

• Sinθ +sin²θ = 1

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▪︎To Find:-

• cos²θ + cos⁴θ = ?

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▪︎T-Ratios Used:-

• sin²θ + cos²θ = 1

Or

• sin²θ = 1 - cos²θ

Or

• cos²θ = 1 - sin²θ

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▪︎Solution:-

➢ As given in question;

Sinθ + sin²θ = 1 ---------- eq.1

➟ Sinθ = 1 - sin²θ

➢ As we know, 1 - sin²θ = cos²θ

Putting the value in equation

➟ Sinθ = cos²θ ------- eq.2

➢ By squaring both sides of eq.2 ,

➟ (Sinθ)² = (cos²θ)²

➟ Sin²θ = cos⁴θ -------- eq.3

➢ Putting value of eq. 2 and 3 in eq.1

Sinθ + sin²θ = 1

➟cos²θ + cos⁴θ = 1

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▪︎Answer:-

☆ cos²θ + cos⁴θ = 1

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Answer 2

Answer:

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