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(1/cosx -cosx)

= 7(1-cos^2(x)/cosx

= 7sin^2(x)/cosx

=7sinxsinx/cosx

= 7sinxtanx

Answer 2

7secx - 7cosx

= 7 / cosx - 7cosx

= (7 - 7cos²x) / cosx

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

Answer 3

sec x = 1 / cos x,

Substitute, combine like terms.