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If sinθ + cos θ = √2cos(90° - θ), find cotθ.

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If sinθ + cos θ = √2cos(90° - θ), find cotθ.

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sinθ + cos θ = √2cos(90° - θ)

cos θ = √2sinθ - sinθ

cos θ = (√2-1)sinθ

\(\frac{cosθ}{sinθ}\) = √2-1

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