Reciprocal Trig Functions (rad)

Use unit circle to define trig reciprocal relationships in first quadrant for exact values (rad)

Use unit circle to define trig reciprocal relationships across 4 quadrants for any angle (rad)

Use coordinate plane to define reciprocal trig ratios for any angle theta (neutral)

Identify correct quadrant from given conditions involving reciprocal functions (neutral)

Evaluate reciprocal trigonometric functions values (rad)

Solve trigonometric equations using reciprocal functions across 4 quadrants for any angle (rad)

Grade 12

Use coordinate plane to define reciprocal trig ratios for any angle theta (neutral)

Interactive practice questions

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

A Cartesian 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 Cartesian 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).

Medium

6min

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

Hard

5min

Outcomes

12F.B.1.4

Determine, without technology, the exact values of the primary trigonometric ratios and the reciprocal trigonometric ratios for the special angles 0, p/6, p/4 , p/3 , p/2, and their multiples less than or equal to 2p

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