9 5.1 Trig Ratios

The correct trig ratio linking the two labelled sides in the right-angled triangle shown is:

• $\sin34\degree=\frac{25}{x}$

• $\sin34\degree=\frac{x}{25}$

• $\tan34\degree=\frac{x}{25}$

• $\tan34\degree=\frac{25}{x}$

• $\cos34\degree=\frac{x}{25}$

The correct trig ratio linking the two labelled sides in the right-angled triangle shown is:

• $\tan40\degree=\frac{c}{12}$

• $\sin40\degree=\frac{c}{12}$

• $\cos40\degree=\frac{c}{12}$

• $\cos40\degree=\frac{12}{c}$

• $\sin40\degree=\frac{12}{c}$

The correct trig ratio linking the two labelled sides in the right-angled triangle shown is:

• $\sin20\degree=\frac{18}{q}$

• $\sin20\degree=\frac{q}{18}^{ }$

• $\cos20\degree=\frac{18}{p}$

• $\cos20\degree=\frac{q}{18}$

• $\tan20\degree=\frac{18}{q}^{ }$

The correct trig ratio linking the two labelled sides in the right-angled triangle shown is:

• $\cos60\degree=\frac{a}{2}$

• $\sin60\degree=\frac{a}{2}$

• $\tan60\degree=\frac{a}{2}$

• $\cos60\degree=\frac{2}{a}$

• $\tan60\degree=\frac{2}{a}^{ }$

The correct trig ratio linking the two labelled sides in the right-angled triangle shown is:

• $\tan28\degree=\frac{y}{15}$

• $\sin28\degree=\frac{y}{15}^{ }$

• $\tan28\degree=\frac{15}{y}$

• $\cos28\degree=\frac{y}{15}$

• $\cos28\degree=\frac{15}{y}^{ }$

The correct trig ratio linking the two labelled sides in the right-angled triangle shown is:

• $\tan26\degree=\frac{67}{p}$

• $\sin26\degree=\frac{p}{67}$

• $\tan26\degree=\frac{p}{67}$

• $\cos26\degree=\frac{p}{67}$

• $\cos26\degree=\frac{67}{p}^{ }$

The correct trig ratio linking the two labelled sides in the right-angled triangle shown is:

• $\sin32\degree=\frac{28}{r}$

• $\tan32\degree=\frac{r}{28}^{ }$

• $\cos32\degree=\frac{28}{r}$

• $\cos32\degree=\frac{r}{28}$

• $\tan32\degree=\frac{28}{r}^{ }$

The correct trig ratio linking the two labelled sides in the right-angled triangle shown is:

• $\sin56\degree=\frac{15}{j}$

• $\tan20\degree=\frac{j}{15}^{ }$

• $\sin56\degree=\frac{j}{15}$

• $\cos56\degree=\frac{j}{15}$

• $\tan56\degree=\frac{15}{j}^{ }$

Use trigonometry to find the value of the pronumeral, to 1 decimal place

• 29.9

• 44.6

• 22.3

• 21.5

• 32.1

Use trigonometry to find the value of the pronumeral, to 1 decimal place

• 8.5

• 2.6

• 29.1

• 9.3

• 30.4