SOLUTION: Use the Pythagorean Theorem to determine the third side and then find the other five trigonometric functions of θ. tanӨ=2/3

Algebra ->  Trigonometry-basics -> SOLUTION: Use the Pythagorean Theorem to determine the third side and then find the other five trigonometric functions of θ. tanӨ=2/3      Log On


   



Question 944630: Use the Pythagorean Theorem to determine the third side and then find the other five trigonometric functions of θ.
tanӨ=2/3

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
A bit incomplete a description. Is this on the unit circle or some other triangle? The 2 corresponds to a vertical leg and the 3 to a horizontal leg. You only know their ratio, not their actual values. Using the proportion as if actual values of the triangle, 2%5E2%2B3%5E2=v%5E2;
v=5.

v was assigned as the hypotenuse.
cos%28theta%29=3%2F5
sin%28theta%29=2%2F5