Question

Prove that
cot A - tan A/
1- 2 sin^2 A=
sec A cosec A

Answer 1

Answer:

L.H.S. =(sinA−cosA)(1+

sinA

cosA

+

cosA

sinA

)

=

sinAcosA

1

(sinA−cosA)(sin

2

A+cos

2

A+sinA−cosA)

=

sinAcosA

sin

3

Acos

3

A

=

cosA

sin

2

A

−

sinA

cos

2

A

=

csc

2

A

secA

−

sec

2

A

cscA

.

Step-by-step explanation:

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