Math, asked by mayankkishanmathur, 10 months ago

If sin θ + sin² θ = 1, then cos² θ + cos θ =

Answers

Answered by abhishekrajtop835
4

Answer:

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Answered by karannnn43
6

Given:- sin θ + sin² θ = 1

To find:- cos² θ + cos⁴θ

Solution:-

sin θ + sin² θ = 1

[tex]\implies[tex] sin θ + 1-cos²θ = 1

[tex]\implies[tex] sinθ - cos²θ = 0

[tex]\implies[tex] sinθ = cos²θ

[tex]\implies[tex]sin²θ = cos⁴θ

[tex]\implies[tex]1-cos²θ = cos⁴θ

[tex]\implies[tex]cos⁴θ + cos²θ = 1

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