SOLUTION: If θ is an acute angle of a right triangle and if cosθ = 5/13, then find the values of the remaining five trigonometric functions for angle θ.

Algebra ->  Trigonometry-basics -> SOLUTION: If θ is an acute angle of a right triangle and if cosθ = 5/13, then find the values of the remaining five trigonometric functions for angle θ.       Log On


   

Question 1103460: If θ is an acute angle of a right triangle and if cosθ = 5/13, then find the values of the remaining five trigonometric functions for angle θ.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Note that this problem is about a right triangle; so all the angles are acute, and the values of all the trig functions are positive.

You can solve this quickly if you recognize 5 and 13 as two numbers in a Pythagorean Triple.

If not, then...
use sin^2x+cos^2x=1 to find sinx; then
tanx = sinx/cosx
secx = 1/cosx
cscx = 1/sinx
cotx = 1/tanx