Find the value of cos(90° - θ ) .sec θ .tan(90° - θ) .cosec θ ?
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Answer:
cos(90° - θ ) = sinθ
sec θ = 1/cosθ
tan(90° - θ) = cotθ = cosθ / sinθ
cosec θ = 1/sinθ
cos(90° - θ ) .sec θ .tan(90° - θ) .cosec θ
= sinθ × 1/cosθ × cosθ/sinθ × 1/sinθ
= 1/sinθ = cosec θ
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