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Algebra 1 - Precalculus

4.06 Evaluating trigonometric functions: exact values

Interactive practice questions

Consider the expression $\sin135^\circ$sin135°.

a

In which quadrant is $135^\circ$135°?

fourth quadrant

A

first quadrant

B

third quadrant

C

second quadrant

D
b

What positive acute angle is $135^\circ$135° related to?

c

Is $\sin135^\circ$sin135° positive or negative?

positive

A

negative

B
d

Rewrite $\sin135^\circ$sin135° in terms of its reference angle. You do not need to evaluate $\sin135^\circ$sin135°.

Easy
3min

Consider the expression $\cos240^\circ$cos240°.

Easy
1min

Consider the expression $\tan210^\circ$tan210°.

Easy
1min

Consider the expression $\sin\frac{7\pi}{6}$sin7π6.

Easy
2min
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Outcomes

F.TF.A.2

Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.

F.TF.A.3

(+) Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for x, π x, and 2π - x in terms of their values for x, where x is any real number.

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