SOLUTION: Suppose cosine of theta equals the negative square root of 3 over or divided by 4 and theta is in the third quadrant. What are the exact values for sin of theta and tangent of thet
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Question 664562: Suppose cosine of theta equals the negative square root of 3 over or divided by 4 and theta is in the third quadrant. What are the exact values for sin of theta and tangent of theta? Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Suppose cosine of theta equals the negative square root of 3 over or divided by 4 and theta is in the third quadrant. What are the exact values for sin of theta and tangent of theta?
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cosx=-√2/4=adj side/hypotenuse
opp side=√(4^2-√2^2)=√(16-2)=√14
sinx=opp side/hypotenuse=-√14/4
cos and sin<0 in quadrant III
tanx=sinx/cosx=-√2/-√14=1/√7=√7/7
tan>0 in quadrant III
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