Question

prove the identities:- tanA/1+tanA2=sinA.CosA​

Answer 1

Step-by-step explanation:

ANSWER

sinA+cosA−1

sinA−cosA+1

=

sinA−(1−cosA)

sinA+(1−cosA)

=

2sin

2

A

cos

2

A

−2sin

2

2

A

2sin

2

A

cos

2

A

+2sin

2

2

A

cos

2

A

−sin

2

A

cos

2

A

+sin

2

A

=

cot

2

A

+1

cot

2

A

−1

=cot(

4

π

−

2

A

)