topic badge

4.04 Trigonometric functions in the coordinate plane

Interactive practice questions

The point on the graph has coordinates $\left(15,8\right)$(15,8).

A Coordinate Plane with x-axis labeled $-30$30, $-15$15, $15$15 and $30$30, and y-axis labeled $-16$16, $-8$8, $8$8 and $16$16. A point with coordinates $\left(15,8\right)$(15,8) is plotted with a solid black point. A line connects this point to the origin in the Coordinate Plane. The angle between this line and the positive axis is labeled $\theta$θ indicating its unknown measure.
a

Find $r$r, the distance from the point to the origin.

b

Find $\sin\theta$sinθ.

c

Find $\cos\theta$cosθ.

d

Find $\tan\theta$tanθ.

e

Find $\csc\left(\theta\right)$csc(θ).

f

Find $\sec\left(\theta\right)$sec(θ).

g

Find $\cot\left(\theta\right)$cot(θ).

Easy
3min

The point on the graph has coordinates $\left(-7,-24\right)$(7,24).

Easy
5min

The point on the graph has coordinates $\left(7,24\right)$(7,24).

Easy
6min

The graph shows an angle $a$a in standard position with its terminal side intersecting the circle at $P$P$\left(\frac{3}{5},\frac{4}{5}\right)$(35,45).

Easy
2min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

What is Mathspace

About Mathspace