Verify the identity by converting the left side into sines and cosines. (Simplify at each step.

Question

7 sec(x) − 7 cos(x) = 7 sin(x) tan(x)

Answer 1

7secx - 7cosx

= 7 / cosx - 7cosx

= (7 - 7cos²x) / cosx

= 7(1 - cos²x) / cosx = 7sin²x / cosx = 7sinx(sinx / cosx) = 7sinxtanx

Answer 2

sec x = 1 / cos x,

Substitute, combine like terms.