SOLUTION: using the identity sin^2 theta + cos^2 theta = 1, find the value of tan theta, to the nearest hundredths, if cos theta is -0.7 and theta is in Quadrant II?

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Question 1156675: using the identity sin^2 theta + cos^2 theta = 1, find the value of tan theta, to the nearest hundredths, if cos theta is -0.7 and theta is in Quadrant II?
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
using the identity sin^2 theta + cos^2 theta = 1, find the value of tan theta, to the nearest hundredths, if cos theta is -0.7 and theta is in Quadrant II?
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Find cos^2(t)
Find sin^2(t)
Then find sin(t)
Then tan = sin/cos and is negative in Q2

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

using the identity sin%5E2%28theta%29+%2B+cos%5E2%28theta%29+=+1, find the value of tan%28theta%29, to the nearest hundredth, if
cos%28theta%29+=+-0.7 and theta is in Quadrant II


tan%28+theta%29=sin%28theta%29%2Fcos+%28theta%29+
use identity

sin%5E2%28theta%29%2B+cos%5E2%28theta%29+=+1
sin%5E2%28theta%29+=+1-cos%5E2%28theta%29+
sin%28theta%29+=+sqrt%281-cos%5E2%28+theta%29+%29
sin%28theta%29+=+sqrt%281-%28-0.7%29%5E2%29
sin%28theta%29+=+sqrt%280.51%29
sin%28theta%29+=+0.714143
then
tan%28+theta%29=0.714143%2F-0.7
tan%28+theta%29=-1.020204061220407
tan%28+theta%29=-1.02