SOLUTION: Verify that the following equation are trigonometric identities. sec x - sin x tan x = cos x

Algebra ->  Trigonometry-basics -> SOLUTION: Verify that the following equation are trigonometric identities. sec x - sin x tan x = cos x      Log On


   

Question 324025: Verify that the following equation are trigonometric identities.
sec x - sin x tan x = cos x
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sec%28+x%29+-+sin%28x%29+tan%28x%29+=+cos+%28x%29
1%2Fcos%28x%29-sin%28x%29%2A%28sin%28x%29%2Fcos%28x%29%29=cos%28x%29 <--- Write all terms in sin and cos
1-%28sin%28x%29%29%5E2=%28cos%28x%29%29%5E2 <--- Multiply both sides by cos%28x%29
%28sin%28x%29%29%5E2%2B%28cos%28x%29%29%5E2=1 <--- Identity