# Test: Trigonometry - Ambitious

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Question 1:   Calculate: $3\mathrm{cos}{30}^{\circ }\cdot \mathrm{tan}{60}^{\circ }$
$\frac{\sqrt{3}}{2}$
$3\sqrt{3}$
$\frac{3}{2}\sqrt{3}$
$4\frac{1}{2}$
Question 2:   Name the graph:

$y=\mathrm{tan}x$
$y=\mathrm{sin}x$
$y=\mathrm{cot}x$
$y=\mathrm{cos}x$
Question 3:   Find $AB$
$5.2$
$4.35$
$7.05$
$6.9$
Question 4:   Find $BC$
$8.92$
$9.43$
$10.11$
$8.78$
Question 5:   Find $\alpha$
$\alpha =37.67°$
$\alpha =43.12°$
$\alpha =41.81°$
$\alpha =128.54°$
Question 6:   Find $\alpha$
$\alpha =62.19°$
$\alpha =72.22°$
$\alpha =58.15°$
$\alpha =67.11°$
Question 7:   Find $\mathrm{sin}x=-\frac{2}{3}$ for values between $0\le x\le {360}^{\circ }$
$x={41.81}^{\circ },{138.19}^{\circ }$
$x={221.81}^{\circ },{318.19}^{\circ }$
$x={131.81}^{\circ },{221.81}^{\circ }$
$x={221.81}^{\circ },{311.81}^{\circ }$
Question 8:   Calculate the angle $\alpha$:

$\alpha ={25}^{\circ }$
$\alpha ={35}^{\circ }$
$\alpha ={27.15}^{\circ }$
$\alpha ={22.86}^{\circ }$
Question 9:   Calculate the length $BC$:

$4.93cm$
$5.23cm$
$5.17cm$
$5.61cm$
Question 10:   Calculate the area of the triangle:

$9.5c{m}^{2}$
$10.3c{m}^{2}$
$8.7c{m}^{2}$
$10.1c{m}^{2}$