Question

if secA-tanA=x show that 1+x2/1-x2=cosecA ​

Answer 1

Answer:

ANSWER

m

2

+1

m

2

−1

=

(secA+tanA)

2

+1

(secA+tanA)

2

−1

=

sec

2

A+tan

2

A+2secAtanA+1

sec

2

A+tan

2

A+2secAtanA−1

=

sec

2

A+(tan

2

A+1)+2secAtanA

(sec

2

A−1)+tan

2

A+2secAtanA

=

2sec

2

A+2secAtanA

2tan

2

A+2secAtanA

=

2secA

2tanA

=

cosA

sinA

×cosA=sinA

Hence, proved.