# trig

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The terminal side of angle alpha is in the fourth quadrant, and sin alpha=-1/2, find the values of the other functions.

• trig -

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

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