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  • Trigonometry
  • The Unit Circle Tests
  • Signs of trigonometric function

Signs of trigonometric function

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  • Question 1:
    1 pts
    		Use the unit circle to determine the sign of sin50∘sin50^\circ
    positive
    negative
  • Question 2:
    1 pts
    		Use the unit circle to determine the sign of cos⁡130∘\cos130^\circ
    positive
    negative
  • Question 3:
    1 pts
    		Use the unit circle to determine the sign of tan⁡220∘\tan220^\circ
    positive
    negative
  • Question 4:
    2 pts
    		Which of following has positive sign.
    sin⁡300∘\sin300^\circ
    cos⁡300∘\cos300^\circ
    tan⁡300∘\tan300^\circ
    cot⁡300∘\cot300^\circ
  • Question 5:
    2 pts
    		Use the unit circle to determine the sign of sin⁡(−100∘)\sin(-100^\circ)
    positive
    negative
  • Question 6:
    2 pts
    		Use the unit circle to determine the sign of cot⁡(−210o)\cot(-210^o).
    positive
    negative
  • Question 7:
    2 pts
    		In which quadrant do the most trigonometric functions have positive signs?
    first
    second
    third
    fourth
  • Question 8:
    3 pts
    		In which quadrant two trigonometic functions have negative signs?
    first
    second
    third
    fourth
  • Question 9:
    3 pts
    		If sin⁡(α)<0\sin(\alpha)<0 and cos⁡(α)>0\cos(\alpha)>0 than the angle α\alpha belongs to:
    first quadrant
    second quadrant
    third quadrant
    fourth quadrant
  • Question 10:
    3 pts
    		If tan⁡(α)<0\tan(\alpha)<0 and sin⁡(α)>0\sin(\alpha)>0 than the angle α\alpha belongs to:
    first quadrant
    second quadrant
    third quadrant
    fourth quadrant
  • Question 11:
    3 pts
    		Which value in the following group has different sign from the others?
    sin⁡(4π3)\sin({\frac{4\pi}3})
    cos⁡(−π3)\cos({-\frac{\pi}3})
    tan⁡(5π4)\tan({\frac{5\pi}4})
  • Question 12:
    3 pts
    		Which value in the following group has different sign than tan⁡(2π3)\tan({\frac{2\pi}3})?
    cos⁡(2π3)\cos({\frac{2\pi}3})
    sin⁡(2π3)\sin({\frac{2\pi}3})
    cot⁡(2π3)\cot({\frac{2\pi}3})

Angle Measurement

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Unit circle

Trigonometric identities