SOLUTION: The terminal side of angle θ, in standard position, lies in the fourth quadrant, and cosθ=5/13. Find the exact values of sinθ and tanθ sinθ = tanθ =

Algebra ->  Test -> SOLUTION: The terminal side of angle θ, in standard position, lies in the fourth quadrant, and cosθ=5/13. Find the exact values of sinθ and tanθ sinθ = tanθ =       Log On


   

Question 1159744: The terminal side of angle θ, in standard position, lies in the fourth quadrant, and cosθ=5/13. Find the exact values of sinθ and tanθ
sinθ =
tanθ =

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

The terminal side of angle theta, in standard position, lies in the fourth quadrant, and
cos%28theta%29=5%2F13


in this specific right-angled triangle the adjacent side=5 and the hypotenuse =13
opposite side is sqrt%2813%5E2-5%5E2%29=sqrt%28144%29=12
in the fourth+quadrant sin%28theta%29 is negative, we use -12

sin%28theta%29+=-12%2F13

tan%28theta%29+=opposite+%2Fadjacent

tan%28theta%29+=-12%2F5