Math, asked by takseenshaik, 10 months ago

plz solve this !!!!!!​

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Answers

Answered by harshit9927
1

Step-by-step explanation:

(sinA + secA)^2 + (cosA + cosecA)^2

open the brackets

= sin^2A + sec^2A + 2sinAsecA + cos^2A + cosec^2A + 2cosAcosecA

= sin^2A + cos^2A + sec^2A + cosec^2A + 2sinAsecA + 2cosAcosecA

= 1 + sec^2A + cosec^2A + 2(sinAsecA + cosAcosecA)

= 1 + sec^2A + cosec^2A + 2(sinA/cosA + cosA/sinA)

= 1 + sec^2A + cosec^2A + 2(sin^2A + cos^2A)/sinA.cosA

= 1 + sec^2A.cosec^2A + 2/sinA.cosA

=1 + sec^2A.cosec^2A + 2secA.cosecA

(1 + secA.cosecA)^2

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