SOLUTION: use a calculator to approximate two values of theta ( 0 less than or equal to theta less than 2pi ) that satisfy the equation. round the value to three decimal places.
1.) cos the
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Question 683040: use a calculator to approximate two values of theta ( 0 less than or equal to theta less than 2pi ) that satisfy the equation. round the value to three decimal places.
1.) cos theta= -0.3214
find the indicated trigonometric value in the specified quadrant.
1.) Function
sec theta = -9/4
Quadrant 3
trigonometric value : tan theta
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
use a calculator to approximate two values of theta ( 0 less than or equal to theta less than 2pi ) that satisfy the equation. round the value to three decimal places.
1.) cos(theta) = -0.3214
Note: cos is negative in QII and QII
cos^-1(-0.3214) = 1.8980 in QII
Or
cos^-1(-0.3214) = 4.3852 in QIII
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find the indicated trigonometric value in the specified quadrant.
1.) Function
sec theta = -9/4
Quadrant 3
sec = r/x, so r = 9 and x = -4
Then y = sqrt[r^2-x^2] = sqrt[81-15] = sqrt[66]
----
trigonometric value : tan(theta) = y/x = sqrt(66)/4, since x and y are
negative in QIII
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Cheers,
Stan H.
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