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CanadaON
Grade 12

Determine values for angles of any magnitude (rad)

Interactive practice questions

Consider the expression $\sin\frac{5\pi}{6}$sin5π6.

a

In which quadrant is $\frac{5\pi}{6}$5π6?

fourth quadrant

A

second quadrant

B

third quadrant

C

first quadrant

D
b

What positive acute angle is $\frac{5\pi}{6}$5π6 related to?

c

Is $\sin\frac{5\pi}{6}$sin5π6 positive or negative?

negative

A

positive

B
d

Rewrite $\sin\frac{5\pi}{6}$sin5π6 in terms of its relative acute angle. You do not need to evaluate $\sin\frac{5\pi}{6}$sin5π6.

Easy
2min

Consider the expression $\cos\frac{5\pi}{4}$cos5π4.

Easy
2min

Consider the expression $\tan\frac{5\pi}{3}$tan5π3.

Easy
1min

Find the exact value of $\cos\left(-\frac{5\pi}{3}\right)$cos(5π3)

Easy
< 1min
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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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