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CanadaON
Grade 11

Complementary results

Interactive practice questions

Consider the following image to investigate the trigonometric ratios $\sin\theta$sinθ and $\cos\left(90^\circ-\theta\right)$cos(90°θ)

a

$\sin\theta$sinθ = $\editable{}$

$\cos\left(90^\circ-\theta\right)$cos(90°θ) = $\editable{}$

b

Does $\sin\theta=\cos\left(90^\circ-\theta\right)$sinθ=cos(90°θ) for all values of $\theta$θ less than 90°?

Yes

A

No

B
Easy
1min

Consider the following image to investigate the trigonometric ratios $\cos\theta$cosθ and $\sin\left(90^\circ-\theta\right)$sin(90°θ)

Easy
1min

Fill in the blank with the acute angle that makes the statement true.

Easy
< 1min

Complete the blank in the following expression:

Easy
< 1min
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Outcomes

11U.D.2.3

Make connections between the sine ratio and the sine function and between the cosine ratio and the cosine function by graphing the relationship between angles from 0º to 360º and the corresponding sine ratios or cosine ratios, with or without technology, defining this relationship as the function f(x) =sinx or f(x) =cosx, and explaining why the relationship is a function

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