Math, asked by shreyleela, 1 year ago

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

Answers

Answered by adi179640
5

Step-by-step explanation:

lhs =cosecA ,-sinA ×secA-cosA

1/sinA-sinA (1/cosA-cosA)

cosA/sinA sinA/cosA

cotA. 1/ tanA

rhs=

Answered by susmitabehera2004
2

Step-by-step explanation:

here is the answer to your question...

let,

LHS

=cosecA-sinA(secA-cosA)

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

=1-sin^2A/sinA(1-cos^2A/cosA)

=cos^2A/sinA×sin^2A/cosA

=cosA×sinA

now RHS,

=1/tanA+cotA

=1/sin/cosA+cosA/sinA

=1/sin^2A+cos^A/sinA×cosA

=sinA×cosA

therefore,

RHS=LHS.

hence,proved.

...please mark as brainliest..

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