The reference angle is the positive acute angle that can represent an angle of any measure.. Therefore, the reference angle is, again, 30°. Drawing the figure to show the reflection of (cos 330 , sin 330 … Press the = button to calculate the result. When the terminal side is in the first quadrant (angles from 0° to 90°), our reference angle is the same as our given angle. What is the reference angle? It explains how to find the reference angle in radians and degrees. Compute the sine and cosine of 330∘ by using the reference angle. anonymous89. 360 - 330 = 30, so we are subtracting 30 degrees from 360 to get the sin inverse, 330. I'll bet you can guess what would be the reference angle for 330°. Sine calculator. The easiest way to go about doing this (with the least work possible) is to subtract a sin value from 360 degrees (as to not have to switch the trigonometric ratio being used). a.) 1 decade ago. #(theta)# #330° = 360°-30°# #tan 30° = 1/sqrt3# Sine, is a trigonometric function of an angle. In order to calculate sin(x) on the calculator: Enter the input angle. Plugging the angle value, in degrees, in the previous formula, we get: α rad = π × 330 /180 = . (answer 1, 2, 3, or 4) c.) sin(330∘)= d.) cos(330∘)= *(Type sqrt(2) for √2 and sqrt(3) for √3 ** Please show all your work Question 180059: Express each as a trigonometric function of a reference angle and give the value to 4 decimal places. b. The reference angle $$ \text{ must be } 90^{\circ} $$.. Lv 7. Relevance. How do We Find the Reference Angle without a Calculator? So its reference angle is 30°. a. cot(-135 degrees) b. sec(-260 degrees) c. csc 200 degrees d.csc 175 degrees e. cos(-67 degrees) Answer by stanbon(75887) (Show Source): However, they are all linked to the angle in the first quadrant. This makes sense, since all the angles in the first quadrant are less than 90°. Step 2) Now draw the figure to show the reflection of (cos 330 , sin 330 ) over the x–axis. Select angle type of degrees (°) or radians (rad) in the combo box. degrees. trig questions: find the reference angle for 330 degrees? The image of (cos 330 , sin 330 ) under a reflection over the x–axis is: 360 – 330 = 30 . Tan values are positive in the #1st and 3rd# quadrants and negative in the #2nd and 4th# quadrants.. ... Find the exact value of sin (x) when cos (x) = 3/5 and the terminal side of x is in quadrant 4. This trigonometry video tutorial provides a basic introduction into reference angles. Reflect (cos 330 , sin 330 ) over the x–axis. Trigonometric sine calculator. This means that sin is negative. The sine of an angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle to (which divided by) the length of the longest side of the triangle (thatis called the hypotenuse). Answer Save. In radian measure, the reference angle $$\text{ must be } \frac{\pi}{2} $$.. Basically, any angle on the x-y plane has a reference angle, which is always between 0 and 90 degrees. Since 330 is thirty less than 360, and since 360° = 0°, then the angle 330° is thirty degrees below (that is, short of) the positive x-axis, in the fourth quadrant. How we find the reference angle depends on the quadrant of the terminal side. )In what quadrant is this angle? π × 330÷30/180÷30 = 11π/6 radians, when reduced to lowest terms.. 1 Answer. Note: 11π/6 rad can be expressed as a decimal (not a fraction) as 1.8333333333333π rad = 5.7595865315813 radians. #330°# is in the #4th# quadrant. Favorite Answer. Sine Calculator.