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3 years ago

Cos(2x) + sin^2(x) = 0

Mathematics

1 answer:

zloy xaker [14]3 years ago

7 0

cos(2θ) + sin²(θ) = 0

Half-angle identity:

cos(2θ) + (1 - cos(2θ))/2 = 0

Simplify:

2 cos(2θ) + 1 - cos(2θ) = 0

cos(2θ) = -1

Solve for θ :

2θ = arccos(-1) + 2nπ

2θ = π + 2nπ

θ = π/2 + nπ

where n is any integer.

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Answer:

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Apply quadratic formula:

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Simplify following

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