Simplify: cot2θ(secθ11+sinθ)+sec2θ(sinθ11+secθ)cot2θ(secθ11+sinθ)+sec2θ(sinθ11+secθ)


Answer:

00

Step by Step Explanation:
  1. On adding the two fractions, we have:
    cot2θ(secθ11+sinθ)+sec2θ(sinθ11+secθ)=cot2θ(secθ1)(secθ+1)+sec2θ(sinθ1)(sinθ+1)(1+sinθ)(1+secθ)=cot2θ(sec2θ1)+sec2θ(sin2θ1)(1+sinθ)(1+secθ)=cot2θtan2θsec2θcos2θ(1+sinθ)(1+secθ)=11(1+sinθ)(1+secθ)=0

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