Question

The angle θ corresponds to the angle between the positive x-axis and the line between the origin and the point (15/17,−8/17) on the unit circle. State your answers as exact expressions. a. What is sinθ? b. What is tanθ? c. What is cosθ?

Answer 1

Answer:

a.  sin θ =  -8/17.

b.  tan θ =  -8/15.

c.  cos θ =  15/17.

Step-by-step explanation:

Consider the triangle formed by joining the origin to the point and the perpendicular from the point to the x-axis. The triangle will be in the 4th quadrant.

The hypotenuse =   √ (15/17^2 + (-8/17)^2 )

=  √ 1 = 1.

sin θ = -8/17 / 1

= -8/17

tan θ = -8/17 / 15/17

= -8/15.

cos θ  = 15/17 / 1

= 15/17.