SOLUTION: Find tanTheta given that sinTheta =3/4 and Theta is in quadrant two

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Question 954765: Find tanTheta given that sinTheta =3/4 and Theta is in quadrant two
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sin%28theta%29=3%2F4
cos%5E2%28theta%29%2Bsin%5E2%28theta%29=1
cos%5E2%28theta%29%2B9%2F16=1
cos%5E2%28theta%29=7%2F16
cos%28theta%29=-sqrt%287%29%2F4 since theta lies in the 2nd quadrant.
So then,
tan%28theta%29=sin%28theta%29%2Fcos%28theta%29
tan%28theta%29=%283%2F4%29%2F%28-sqrt%287%29%2F4%29
tan%28theta%29=-%283%2Fsqrt%287%29%29
tan%28theta%29=-%283%2F7%29sqrt%287%29