Use the given value of sin theta to find the approximate value of cos theta in the quadrant indicated.
sin theta = -0.906, 3pi/2 < theta < 2π

Respuesta :

The approximate value of cos theta in the quadrant indicated is 0.4232

Trigonometry expressions

Given the expression below;

sin theta = -0.906

Determine the value of theta

sin theta = -0.906

theta = arcsin(-0.906)
theta = -64.95 degrees

In the 4th quadrant;

theta = 360 - 64.95

theta = 295.04 degrees

Determine the value of cosine theta

Cos theta = cos 295.04
cos theta = 0.4232

Hence the approximate value of cos theta in the quadrant indicated is 0.4232

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