Question 972523: Let tan(theta)=7/24, where sin(theta) is less than 0. Find the value of theta.
Thanks
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! This is in the third quadrant, where both the sin and cos are negative, and their quotient, the tangent, is positive.
The tangent is 7/24. This is a 7/24/25 right triangle, so the hypotenuse is 25. The opposite side is 7, since that is from the tangent.
Sin theta = -7/25 theta=196.2 degrees.
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