Question

( sec a + cos a )(sec a - cos a)= tan ^2 a + sin^2 a prove

Answer 1

Hi Friend !!

Here is ur answer !!!

(sec a + cos a)(sec a - cos a)


= sec²a - cos²a

= 1/cos²a - cos²a

= 1-cos^4 a / cos²a

= 1+cos²a(sin² a) / cos²a

= 1+cos²a/cos²a + sin²a/cos²a

= sin²a+tan²a

HENCE PROVED

Hope it helps u : )

Answer 2

Answer:

Step-by-step explanation:

day.

Brainly.in

What is your question?

(sec a + cos a)(sec a - cos a)

= sec²a - cos²a

= 1/cos²a - cos²a

= 1-cos^4 a / cos²a

= 1+cos²a(sin² a) / cos²a

= 1+cos²a/cos²a + sin²a/cos²a

= sin²a+tan²a