1. If the point P(-4/5,y) lies on the unit circle and P is in the third quadrant, what does y equal?
2. There are values of t so that sin t = .3 and cos t = -.6.
Is this statement true or false???
Thank you!
2 Answers
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1)
16/25 + y^2 = 1
y^2 = 9/25
y = -3/5
2)
sin^2 t + cos^2 t = 0.3^2 + 0.6^2 = 0.45
this must equal 1 so this statement is false.
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equation for unit circle is: x^2 + y^2 = 1
substituting the given x coord in this equation: y = +/- sqrt(1 – (-4/5)^2) = +/- 3/5