Math, asked by bhardwajshalini570, 8 months ago

(1+ Cot A - CosecA) (1 tan A + sec A) = ?

Answers

Answered by parishmitakalita2004

1

Step-by-step explanation:

LHS: (1+cotA-cosecA)(1tanA+secA)

=(1+cosA/sinA-1/sinA)(1+sinA/cosA+1/cosA)

=(sinA+cosA-1/sinA)(cosA+sinA+1/cosA)

=(sinA+cosA)^2-1/sinAcosA

=1+2sinAcosA-1/sinAcosA

(since,sin^2A+cos^2A=1)

=2

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