SOLUTION: I am trying to solve: sec^2 77 degrees-tan^2 77 degrees. I know that I need to use the fundamental trig identities to arrive at the solution, but I am having trouble applying one.

Question 349045: I am trying to solve: sec^2 77 degrees-tan^2 77 degrees. I know that I need to use the fundamental trig identities to arrive at the solution, but I am having trouble applying one.
Thank you!
Answer by Jk22(389) (Show Source): You can put this solution on YOUR website!
sec(77)^2-tan(77)^2=1/cos(77)^2-sin(77)^2/cos(77)^2 | def. of sec and tan

=(1-sin(77)^2)/cos(77)^2

=cos(77)^2/cos(77)^2 | cos^2+sin^1=1 trig. identity

=1.
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