Trigonometry

NZ Level 7 (NZC) Level 2 (NCEA)

Trigonometric ratios of supplementary angles (rad)

Let $\theta$`θ` be an acute angle (in radians).

If $\sin\theta=0.6$`s``i``n``θ`=0.6, find the value of:

a

$\sin\left(\pi-\theta\right)$`s``i``n`(π−`θ`)

b

$\sin\left(\pi+\theta\right)$`s``i``n`(π+`θ`)

c

$\sin\left(2\pi-\theta\right)$`s``i``n`(2π−`θ`)

d

$\sin\left(-\theta\right)$`s``i``n`(−`θ`)

Easy

Approx 3 minutes

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