Find the indicated function value. If it is undefined, say so. Se...

Question

Find the indicated function value. If it is undefined, say so. See Example 4.                                                                                                                                                                                                                                               
                                                                                                                                                                                                                                                                                                                                                                                 
  sin(―270°)

Accepted Answer

Hello, everyone. We are asked to determine the value of the given trigonometric function. If possible, we're looking for the sign of negative 180 degrees. Our answer choices are a zero B one C negative one D undefined. So first recall that when we're looking at a unit circle to find the value of a function, the sign of whichever angle. So I'm gonna just say sign of theta is the ratio of Y divided by R. Also if I want to work in the positive instead of the negative, I can look at the negative 180 degrees and add a full rotation to that of degrees. So now I'm working with the values at a positive 180 degrees and they'll be the same because they are co terminal. So at 180 degrees on a unit circle X is negative one Y is zero, R is one. So now we can use those values to find the sign of negative 180 degrees as Y which is zero, divided by R which is one zero, divided by anything is zero. So the sign of negative 180 degrees is zero, which is answer choice a have a nice day.

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Find the indicated function value. If it is undefined, say so. See Example 4. sin(―270°)