Math, asked by nityakhare47, 4 months ago

Prove that: cos1−tan/+sin/1−cot=sin+cos.

Answers

Answered by shubha588
6

LHS=

1−tanA

cosA

+

1−cotA

sinA

=

1−

cosA

sinA

cosA

+

1−

sinA

cosA

sinA

=

cosA−sinA

cos

2

A

cosA−sinA

sin

2

A

=

(cosA−sinA)

(cosA−sinA)(cosA+sinA)

=cosA+sinA

=RHS

Hence proved.

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