Question

Use a reference angle to find the exact value of the following expression. Do not use a calculator.\\ $\sin (120^\circ)$\\Select the correct choice below and, if necessary, fill in the answer box to complete your choice.\\ A. $\sin (120^\circ) =$\\ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)\\B. The answer is undefined. 

          Use a reference angle to find the exact value of the following expression. Do not use a calculator.\\
$\sin (120^\circ)$\\Select the correct choice below and, if necessary, fill in the answer box to complete your choice.\\
A. $\sin (120^\circ) =$\\
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)\\B. The answer is undefined.
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Use a reference angle to find the exact value of the following expression. Do not use a calculator. sin (120^∘) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. sin (120^∘) = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) B. The answer is undefined.

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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Use a reference angle to find the exact value of the following expression. Do not use a calculator. sin(120deg ) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. sin(120deg )= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the ex B. The answer is undefined. Use a reference angle to find the exact value of the following expression.Do not use a calculator sin(1200) Select the correct choice below and. if necessary.fill in the answer box to complete your choice sin(120)= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the ex D.BThe answer is undefined
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Transcript

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00:01 First, let's think about my unit circle.
00:03 Positive x is zero degrees.
00:05 Positive y is 90, 180, 270, and one whole revolution around the unit circle is 360 degrees.
00:13 Now notice that 855 is not on the unit circle, not between 0 and 360.
00:19 So i'm going to go backwards.
00:21 I'm going to go one whole revolution the other way around the unit circle, subtract 360, to give me a code terminal angle 495.
00:29 Now, these have the same ending point.
00:32 So i know they're the same.
00:33 It's not between 0 and 360, so i'm going to subtract 360 again.
00:38 Another coterminal angle is 135.
00:40 Now, 135 is between 0 and 360, and it's in the second quadrant.
00:48 So i know that secant of 855 is equivalent to secant of 135 because they are co -terminal angles...
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