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.

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) (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
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SOLUTION: If &#952; is an acute angle of a right triangle and if cos&#952; = 5/13, then find the values of the remaining five trigonometric functions for angle &#952;.

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.