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1/(1+sin^2θ)+1/(1+cos^2θ)+1/(1+sec^2θ)+1/(1+csc^2θ)=
题目详情
1/(1+sin^2θ)+1/(1+cos^2θ)+1/(1+sec^2θ)+1/(1+csc^2θ)=__________
▼优质解答
答案和解析
1/(1+sin^2θ)+1/(1+cos^2θ)+1/(1+sec^2θ)+1/(1+csc^2θ)
=1/(1+sin^2θ)+1/(1+cos^2θ)+cos^2θ/(1+cos^2θ)+sin^2θ/(1+sin^2θ)
=1+1=2
=1/(1+sin^2θ)+1/(1+cos^2θ)+cos^2θ/(1+cos^2θ)+sin^2θ/(1+sin^2θ)
=1+1=2
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