Using trig identities, prove the equation shown below.

sec (x) - sin (x) tan (x) = cosx

Hint: Work on the left side of the equation and do not manipulate the right side of the equation.

Step-by-step explanation:

Prove that

sec (x) - sin (x) tan (x) = cosx

sec (x) = 1/cos (x) tan (x) = sin (x) / cos (x)

1/cos (x) - sin (x) x sin (x) / cos (x)

(1-sin (x) x sin (x)) / cos (x)

(1-sin^2 (x)) / cos (x) 1-sin^2 (x) = cos^2 (x)

Cos^2 (x) / cos (x)

(Cos (x) x cos (x)) / cos (x)

cos (x) proved