prove that 1/1+sin Q+1/1-sin Q=2 sec²Q
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Step-by-step explanation:
1+1/sinQ +1+1/sinQ
=(1-sinQ)+(1+sinQ)/(1+sinQ)*(1-sinQ)
=2/1^2-sin^2Q
=2/1-sin^2Q
=2/cos^Q
=2 sec^2Q [since, 1/cos^2 Q = sec^Q]
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