1.

If sinθ + cosθ = √3 cos (90 - θ), then what is the value of tanθ?1). √3 - 12). √3 + 13). (√3 + 1)/24). (√3 - 1)/2

Answer»

sinθ + cosθ = √3 COS (90 - θ)

sinθ + cosθ = √3 sinθ

cosθ = √3 sinθ - sinθ

cosθ = sinθ (√3 - 1)

∴ tanθ = 1/(√3 - 1) = (√3 + 1)/2


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