Question

Prove that cot theta -tan theta =2cos^2-1÷sin theta.cos theta

Answer 1

See Ur answer in the picture.


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Answer 2

Answer:

Step-by-step explanation:

sinθ(1+tanθ) + cosθ(1+cotθ)

sinθ(1+sinθ/cosθ) + cosθ(1+cosθ/sinθ)

sinθ(cosθ+sinθ/cosθ) + cosθ(sinθ+cosθ/sinθ)

(cosθ+sinθ) ((sinθ/cosθ)+(cosθ/sinθ))

(cosθ+sinθ) ((sin²θ+cos²θ/sinθcosθ))

(cosθ+sinθ) (1/(cosθ*sinθ))

cosθ/sinθcosθ+sinθ/sinθcosθ

1/sinθ + 1/cosecθ

cosecθ + secθ