1÷cosa+sina-1+1÷cosa+sina+1=coseca+seca
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Step-by-step explanation:
1/cosA+sinA-1+1/cosA+sinA+1
=cosA+sinA+1+cosA+sinA-1/(cosA+sinA)²-1
=2(cosA+sinA)/cos²A+sin²A+2cosAsinA-1
=2(cosA+sinA)/2cosAsinA
=(cosA+sinA)/cosAsinA
=cosA/cosAsinA+sinA/cosAsinA
=1/sinA+1/cosA
=cosecA+secA
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