SOLUTION: If sin &#952; = 7/24 and cos &#952; < 0, find the exact value of tan &#952;. Thank you :D

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Question 1130506: If sin θ = 7/24 and cos θ < 0, find the exact value of tan θ. Thank you :D
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The sin is positive and the cos is negative,
so the angle must be in the 2nd quadrant.
In the 2nd quadrant, the tan is also negative
------------------------------------------------
+24%5E2+-+7%5E2+%2B+b%5E2+
+576+=+49+%2B+b%5E2+
+b%5E2+=+576+-+49+
+b%5E2+=+527+
+b+=+sqrt%28+527+%29+
+tan%28+theta+%29+=+-7%2Fsqrt%28+527+%29+
get 2nd opinion if needed