Question

. Prove that tanA^2 - 1/ cos^2A +1 = 0​

Answer 1

Answer:

LHS=

1+tan

2

A

tan

2

A

​

+

1+cot

2

A

cot

2

A

​

Using the identites: 1+tan

2

A=sec

2

A and 1+cot

2

A=csc

2

A:

=

sec

2

A

tan

2

A

​

+

csc

2

A

cot

2

A

​

=

cos

2

A

1

​

cos

2

A

sin

2

A

​

​

+

sin

2

A

1

​

sin

2

A

cos

2

A

​

​

=sin

2

A+cos

2

A

=1

=RHS

Hence proved.

Step-by-step explanation: