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2.04 Trigonometric functions on the unit circle

Adaptive
Worksheet

Interactive practice questions

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).

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

Find the value of $\sin a$sina.

b

Find the value of $\cos a$cosa.

c

Find the value of $\tan a$tana.

Medium
2 min

The graph shows an angle $a$a in standard position with its terminal side intersecting the circle at $P$P$\left(-\frac{21}{29},\frac{20}{29}\right)$(2129,2029).

Medium
2 min

The graph shows an angle $a$a in standard position with its terminal side intersecting the circle at $P$P$\left(-\frac{21}{29},\frac{20}{29}\right)$(2129,2029).

Medium
2 min

The graph shows an angle $a$a in standard position with its terminal side intersecting the circle at $P$P$\left(\frac{20}{29},-\frac{21}{29}\right)$(2029,2129).

Medium
1 min
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Outcomes

T.CT.2a

Convert between radian and degree measure of special angles of the unit circle without the use of technology.

T.CT.2b

Define the six circular trigonometric functions of an angle in standard position on the unit circle.

T.CT.2c

Apply knowledge of right triangle trigonometry, special right triangles, and the properties of the unit circle to determine trigonometric function values of special angles (0°, 30°, 45°, 60°, and 90°) and their related angles in degree and radians without the use of technology.

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