Trigonometric Identities

NZ Level 8 (NZC) Level 3 (NCEA) [In development]

Complementary results

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

Yes

A

No

B

Easy

Approx 2 minutes

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