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dedrell16
29.01.2020 •
Mathematics
Angle θ is in standard position. if sin(θ) = − 1/3, and π < θ < 3π/2 , find cos(θ).
a. -(2√2)/3
b.4/3
c.2√2/3
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Ответ:
sin^2 + cos^2 = 1
(-1/3)^2 + cos^2 = 1
1/9 + cos^2 = 1
cos^2 = 8/9
cos = +- sqrt(8)/sqrt(9) = +- 2sqrt(2)/3
Determine whether cos is positive or negative by looking at which quadrant the angle is in.
pi < theta < 3pi/2 ---> this is 3rd quadrant where x or cos is negative
Therefore cos(theta) = -2sqrt(2)/3
Ответ:
-2√2/3 is the correct answer. :))
Step-by-step explanation:
Ответ:
? i dont see the work
Step-by-step explanation: