Asked by mrkkn
The terminal side of angle alpha is in the fourth quadrant, and sin alpha=-1/2, find the values of the other functions.
Answers
Answered by
Reiny
From the ratios of sides of the 30-60-90 triangle you know that if
sinØ= +1/2 , then Ø = 30°
Also in the 4th quadrant, both the sine and tangent and of course their reciprocals are negative, the cosine is positive.
so
sinØ = -1/2 csc‚ = -2
cosØ = √3/2 secØ = 2/√3
tanØ = - 1/√3 cotØ = -√3
sinØ= +1/2 , then Ø = 30°
Also in the 4th quadrant, both the sine and tangent and of course their reciprocals are negative, the cosine is positive.
so
sinØ = -1/2 csc‚ = -2
cosØ = √3/2 secØ = 2/√3
tanØ = - 1/√3 cotØ = -√3
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