Question

SecA+tanA=p, prove that sinA=p2-1/p2+1

Answer 1

Answer:

p2 - 1 = (sec a + tan a)2 - 1

= sec? a + 2 sec a tan a + tan? a - 1

= 2 sec a tan a + (sec? a - 1) + tan? a

= 2 sec a tan a + 2 tan2 a

= 2 tan a (sec a + tan a)

=

= 2p tan a.

Also,

p2 + 1 = sec? a +2 sec a tan a + tan? a + 1

= sec a + 2 sec a tan a + (tan? a + 1)

= 2 sec a + 2 sec a tan a

= 2 sec a(sec a + tan a)

= 2p sec a.

Answer 2

Answer:

Your answer attached in the photo