Math, asked by sanchi1024, 1 year ago

please solve as urgent as possible .. And it will be too much helpful if you attach solution's pic.​

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Answered by mysticd
1

LHS=(tanA+cosecB)²

-(cotB-secA)²

=(tan²A+cosec²B+2tanAcosecB)

-(cot²B+sec²A-2cotBsecA)

=tan²A+cosec²B+2tanAcosecB

-cot²B-sec²A+2cotBsecA)

=(tan²A-sec²A)+(cosec²B-cot²B)+2sinA/cosAsinB + 2cosB/sinBcosA

= -1 +1 + 2/(sinBcosA)[sinA+cosB]

= 2/(CosAsinB)[sinA+cosB]

=[2sinAcosB]/(cosAsinB)[(sinA+cosB)/sinAcosB]

= 2tanAcotB(secB+cosecA)

=RHS

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