Trigonometry

Hong Kong

Stage 1 - Stage 3

Consider the following image to investigate the trigonometric ratios $\sin\theta$`s``i``n``θ` and $\cos\left(90^\circ-\theta\right)$`c``o``s`(90°−`θ`)

a

$\sin\theta$`s``i``n``θ` = $\editable{}$

$\cos\left(90^\circ-\theta\right)$`c``o``s`(90°−`θ`) = $\editable{}$

b

Does $\sin\theta=\cos\left(90^\circ-\theta\right)$`s``i``n``θ`=`c``o``s`(90°−`θ`) for all values of $\theta$`θ` less than 90°?

Yes

A

No

B

Easy

Approx 2 minutes

Consider the following image to investigate the trigonometric ratios $\cos\theta$`c``o``s``θ` and $\sin\left(90^\circ-\theta\right)$`s``i``n`(90°−`θ`)

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

Complete the blank in the following expression:

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