Question

For questions 6 – 9 prove the following trigonometric identities.
7. (sec x + tan x)((1 – sin x) / cos x) = 1
Calculation Reason

Answer 1

take cosx/i-sinx multiply conjugate of the denominator (1+sin x) / (1+sin x)
so the eqtn becomes
cos x / (1 - sin x) * (1+sin x) / (1+sin x)

=cos x (1 + sin x) / (1 - sin² x)

=cos x (1 + sin x) / cos² x

=(1 + sin x) / cos x

=1/cos x + sin x / cos x

=sec x + tan x
hope helped

Answer 2

thanks @sidsiddhartha

Answer 3

now if i had some reasoning then you would be the best person ever
@anyone