prove that :-1/(1+sin theta) + 1/(1-sin theta) 2sec^2 theta
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Step-by-step explanation:
L.H.S.=1/(1+sin theta)+1/(1-sin theta)
=(1+sin theta)+(1-sin theta)/(1-sin theta)(1+sin theta)
= 1+sin theta +1-sin theta/1²-sin² theta
=1+1/cos²theta
=2/cos ²theta
=2×1/cos²theta
=2sec²theta
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