# Test: Trigonometry - Challenging

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Question 1:   Find $x$
$x=9.76$
$x=8.21$
$x=10.73$
$x=0.82$
Question 2:   Find $\alpha$
$\alpha =40.11°$
$\alpha =38.82°$
$\alpha =43.13°$
$\alpha =27.25°$
Question 3:   Find $x$
$x=12.28$
$x=14.17$
$x=13.79$
$x=14.84$
Question 4:   Find $\mathrm{cos}x=\frac{1}{3}$ for the values between $-{360}^{\circ }\le x\le 0$
$x=-{70.53}^{\circ },-{289.47}^{\circ }$
$x=-{19.47}^{\circ },-{179.9}^{\circ }$
$x=-{70.53}^{\circ },-{340.53}^{\circ }$
$x=-{70.53}^{\circ },-{250.53}^{\circ }$
Question 5:   Find $\mathrm{tan}x=-1$ for values between $-\pi \le x\le \pi$
$x=-{45}^{\circ },{135}^{\circ }$
$x={45}^{\circ },{135}^{\circ }$
$x=-{45}^{\circ }$
$x=-{45}^{\circ },{45}^{\circ }$
Question 6:   Find the angle $\alpha$:

$\alpha ={68.66}^{\circ }$
$\alpha ={43.24}^{\circ }$
$\alpha ={73.69}^{\circ }$
$\alpha ={62.81}^{\circ }$
Question 7:   Calculate the length of $AC$:

$4.5cm$
$5.67cm$
$6.41cm$
$6.92cm$
Question 8:   Find the length $BC$:

$8.83cm$
$10.55cm$
$11.56cm$
$11.12cm$
Question 9:   Calculate the area of the triangle:

$19.26c{m}^{2}$
$22.12c{m}^{2}$
$20.53c{m}^{2}$
$17.64c{m}^{2}$
Question 10:   Find the angle $\alpha$, if the area of the triangle is $11.11c{m}^{2}$

${65.41}^{\circ }$
${112.7}^{\circ }$
${40.17}^{\circ }$
${27}^{\circ }$