( 1 + tan θ + sec θ)( 1 + cot θ - cosec θ ) =
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Answer:
2 is the answer and also see the explanation..
Step-by-step explanation:
(1+tanθ+secθ)(1+cotθ−cscθ)
=(1+cosθsinθ+cosθ1)(1+sinθcosθ−sinθ1)
=cosθ.sinθ(cosθ+sinθ+1)(sinθ+cosθ−1)
=cosθsinθ(cosθ+sinθ)2−1
=cosθsinθcos2θ+sin2θ+2cosθsinθ−1
=cosθsinθ1−1+2sinθcosθ
=2
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