answer the question I will tag you as a brainlist .
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thank you for this question hope this will help you. mark the answer brilliant answer.
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I am taking theta as A because i am finding theta anywhere on my keyboard.
LHS
(sinA + cosecA)^2 + (cos A + secA)^2
opening the brackets by using the identity
sin^2 A + cosec^2 A + 2sinA cosec A + cos^2 A + sec^2 A + 2secAcosA
{As we know that sin^2 A + cos^2 A =1}
Therefore 1+ 1 + 2 sin A/sin A + cosec^2 A + sec^2 A =2 cosA / cosA
2+2+1+1 cot^2 A + 1 + tan^2 A
=7 + cot^2 A + tan^2 A
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