Math, asked by dhanishamaheshwari, 3 months ago

prove that question..
sin A + sin A cot^2 A = cosec A​

Answers

Answered by sayanjitsingharoy
1

Step-by-step explanation:

sinA+sinAcot^2a=cosecA

Sol->

=>sinA+sinAxcos^2A/sin^2A=cosecA

=>sinA+cos^2A/sinA=cosecA

=>(sin^2A+cos^2A)/sinA=cosecA

=>sin^2A+cos^2A=cosecA×sinA

=>sin^2A+cos^2A=1/sinA×sinA

We know sin^2A+cos^2A=1

so,at LHS we write 1

=>1=1

As,LHS=RHS.Hence Proved that sinA+sinA cot^2A=cosecA

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