Question

Show (seca + tana) (tana - seca) = 1 - seca + tana

Answer 1

Step-by-step explanation:

sec a * tan a + sec a *(- sec a) + tan a* tan a + tan a (- sec a)

sec a tan a - sec^2 a+ tan^2 a - tan a sec a

sec a tan a and - tan a sec a gets cancelled, gives remainder of 1.

so we are left with the following:

1- sec^2 a+ tan^2 a