Math, asked by aman00753, 1 year ago

sinA(1+tanA)+cosA(1+cotA)=secA+cosecA

Answers

Answered by kavann1013

1

Step-by-step explanation:

sinA(1+ sinA/cosA) + cosA(1+cosA/sinA)

sinA(cosA+sinA / cos A) + cosA( sinA+ cosA / sinA)

(sinA/cosA + cosA/sinA) (cosA + sinA)

(sin^2 A + cos^2 A / cosAsinA)(cosA + sinA)

(1/cosAsinA)(cosA +sinA)

cosA + sinA/cosAsinA

cosA/cosAsinA + sinA/cosAsinA

secA + cosecA

Hence Proved......

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