SOLUTION: The point (9, 12) is on the terminal side of an angle in standard position. What is r? A. 21 B. 12 C. 9 D. 15 E. 22 F. 17 What is the sine of the angle? A. 3/4

Algebra ->  Trigonometry-basics -> SOLUTION: The point (9, 12) is on the terminal side of an angle in standard position. What is r? A. 21 B. 12 C. 9 D. 15 E. 22 F. 17 What is the sine of the angle? A. 3/4       Log On


   



Question 1205702: The point (9, 12) is on the terminal side of an angle in standard position.
What is r?
A. 21
B. 12
C. 9
D. 15
E. 22
F. 17
What is the sine of the angle?
A. 3/4
B. 9/10
C. 3/5
D. 4/5
E. 4/3
F. 2/3
What is the cosine of the angle?
A. 0.57
B. 4/5
C. 4/3
D. 0.76
E. 3/5
F. 3/4
What is the tangent of the angle?
A. 3/5
B. 0.57
C. 4/5
D. 4/3
E. 2/3
F. 7/4

What is the angle?
A. 44.13°
B. 77.13°
C. 36.87°
D. 13.87°
E. 53.13°
F. 63.87°

Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!


All you need do is find r by the Pythagorean theorem, and know that

sin%28theta%29=y%2Fr

cos%28theta%29=x%2Fr

tan%28theta%29=y%2Fx

θ = tan-1(y/x)

Edwin