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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∘=π360∘1^{\circ}=\dfrac{\pi}{360^{\circ}} rad
  • Question 2:
    1 pts
    		Find the value of sin⁡150∘.\sin 150^{\circ}.
    12\dfrac{1}{2}
    −32-\dfrac{\sqrt{3}}{2}
    −12-\dfrac{1}{2}
    32\dfrac{\sqrt{3}}{2}
  • Question 3:
    1 pts
    		Find the value of tan⁡30∘.\tan 30^{\circ}.

    23\dfrac{\sqrt{2}}{3}

    33\dfrac{\sqrt{3}}{3}

    32\dfrac{\sqrt{3}}{2}

    22\dfrac{\sqrt{2}}{2}

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

    −12-\dfrac{1}{2}

    12\dfrac{1}{2}

    32\frac{\sqrt{3}}{2}

    −32-\frac{\sqrt{3}}{2}

  • Question 5:
    2 pts
    		Evaluate.
    1+sin⁡(30∘)1−sin⁡30∘=\dfrac{1 + \sin (30^{\circ})}{1-\sin 30^{\circ}}=
  • Question 6:
    2 pts
    		Find the correct sign for the given trigonometric values. tan⁡13π6\tan \dfrac{13\pi}{6}
    positive
    negative
  • Question 7:
    2 pts
    		Evaluate 3(cos⁡30∘)2+2(sin⁡30∘)2.3(\cos 30^{\circ})^{2}+2(\sin 30^{\circ})^{2}.

    112\dfrac{11}{2}

    54\dfrac{5}{4}

    114\dfrac{11}{4}

    52\dfrac{5}{2}

  • Question 8:
    3 pts
    		Evaluate cot⁡300∘⋅cos⁡300∘+tan⁡300∘⋅sin⁡300∘. \cot 300^{\circ} \cdot \cos 300^{\circ} + \tan 300^{\circ} \cdot \sin 300^{\circ}.
  • Question 9:
    3 pts
    		Evaluate tan⁡420∘cos⁡60∘.\dfrac{\tan 420^{\circ}}{\cos 60^{\circ}}.
    3\sqrt{3}
    232 \sqrt{3}
    12\dfrac{1}{2}
    11
  • Question 10:
    3 pts
    		If 0∘<θ<360∘0^{\circ} <\theta < 360^{\circ}, then find all possible values of θ\theta for which sin⁡θ=−12\sin \theta = -\frac{1}{2} .

    30∘,210∘30^{\circ}, 210^{\circ}

    30∘,150∘30^{\circ}, 150^{\circ}

    150∘,330∘150^{\circ}, 330^{\circ}

    210∘,330∘210^{\circ}, 330^{\circ}

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

Angle Measurement

Right triangle

Unit circle

Trigonometric identities