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$\frac{\sqrt{2} - \sin α - \cos α}{\sin α - \cos α}$ is equal to

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sec⁡α2−π8

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cot⁡α2−π2

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detailed solution

Correct option is C

2−sin⁡α−cos⁡αsin⁡α−cos⁡α=2-212sinα+12cosα212sinα-12cosα=2-2cosα-π42sinα-π4=21-cosθ2sinθwhere, θ=α-π4=2sin2θ22sinθ2cosθ2=tanθ2=tanα2-π8

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2−sin⁡α−cos⁡αsin⁡α−cos⁡α is equal to

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$\frac{\sqrt{2} - \sin α - \cos α}{\sin α - \cos α}$ is equal to