Math, asked by sawaditya79, 5 days ago

prove that;-(cosec A-sin A) (sec A-cos A)=1/tan A+cot A

Answers

Answered by anshu7371021623
0

Answer:

(cosec A - sinA ) (secA - cosA )= 1/tanA + cotA

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

(1-sin2A/sinA) (1-cos2A/cosA)

(cos2A/sinA) (sin2A/ codA)

cosA× sinA

RHS = 1/tanA + cotA

(1/sinA/ cosA + cosA / sinA)

(1/ sin2A + cos2A/sinAcosA)

(sinA× cosA/1)

(sinA× cosA)

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