SOLUTION: Simplify and write the trigonometric expression in terms of sine and cosine: (sec(t)-cos(t))/(sec(t))=(f(t))^2. (f(t))^2=? How do I solve this? I got 1-cos^2(t), but that is not

Algebra ->  Trigonometry-basics -> SOLUTION: Simplify and write the trigonometric expression in terms of sine and cosine: (sec(t)-cos(t))/(sec(t))=(f(t))^2. (f(t))^2=? How do I solve this? I got 1-cos^2(t), but that is not       Log On


   



Question 1056786: Simplify and write the trigonometric expression in terms of sine and cosine:
(sec(t)-cos(t))/(sec(t))=(f(t))^2. (f(t))^2=?
How do I solve this? I got 1-cos^2(t), but that is not the right answer, or not in the right form.
Thank you very much for any help!!
Yours,
Juicy

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Skipping any steps and just using your unfinished result of 1-cos%5E2%28t%29, make use of the basic most fundamental Trigonometric Identify. That WILL give you what you want.

cos%5E2%28t%29%2Bsin%5E2%28t%29=1