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  • Trigonometry
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  • Trigonometric Values of Special Angles

Trigonometric Values of Special Angles

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  • Question 1:
    1 pts
    		$1^{\circ}=\dfrac{\pi}{360^{\circ}}$ rad
  • Question 2:
    1 pts
    		Find the value of $\sin 150^{\circ}.$
    $\dfrac{1}{2}$
    $-\dfrac{\sqrt{3}}{2}$
    $-\dfrac{1}{2}$
    $\dfrac{\sqrt{3}}{2}$
  • Question 3:
    1 pts
    		Find the value of $\tan 30^{\circ}.$

    $\dfrac{\sqrt{2}}{3}$

    $\dfrac{\sqrt{3}}{3}$

    $\dfrac{\sqrt{3}}{2}$

    $\dfrac{\sqrt{2}}{2}$

  • Question 4:
    1 pts
    		Find the value of $\cos 120^{\circ}.$

    $-\dfrac{1}{2}$

    $\dfrac{1}{2}$

    $\frac{\sqrt{3}}{2}$

    $-\frac{\sqrt{3}}{2}$

  • Question 5:
    2 pts
    		Evaluate.
    $\dfrac{1 + \sin (30^{\circ})}{1-\sin 30^{\circ}}=$
  • Question 6:
    2 pts
    		Find the correct sign for the given trigonometric values. $$\tan \dfrac{13\pi}{6}$$
    positive
    negative
  • Question 7:
    2 pts
    		Evaluate $3(\cos 30^{\circ})^{2}+2(\sin 30^{\circ})^{2}.$

    $\dfrac{11}{2}$

    $\dfrac{5}{4}$

    $\dfrac{11}{4}$

    $\dfrac{5}{2}$

  • Question 8:
    3 pts
    		Evaluate $ \cot 300^{\circ} \cdot \cos 300^{\circ} + \tan 300^{\circ} \cdot \sin 300^{\circ}.$
  • Question 9:
    3 pts
    		Evaluate $\dfrac{\tan 420^{\circ}}{\cos 60^{\circ}}.$
    $\sqrt{3}$
    $2 \sqrt{3}$
    $\dfrac{1}{2}$
    $1$
  • Question 10:
    3 pts
    		If $0^{\circ} <\theta < 360^{\circ}$, then find all possible values of $\theta$ for which $\sin \theta = -\frac{1}{2}$ .

    $30^{\circ}, 210^{\circ}$

    $30^{\circ}, 150^{\circ}$

    $150^{\circ}, 330^{\circ}$

    $210^{\circ}, 330^{\circ}$

  • Question 11:
    3 pts
    		If $0^{\circ} < \theta < 360^{\circ}$, then find one possible value of $\theta$ for which $\cot \theta = - \sqrt{3}$ and $\csc \theta = 2.$

Angle Measurement

Right triangle

Unit circle

Trigonometric identities