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What is the reference angle for an angle with a measure of 331degree?
360-331=2929 degrees is your reference angle. Remember your signs, though.
Why is 90 degree not taken as the angle of reference in trigonometry?
The angle of reference is in the first quadrant, and 90 degrees angle is not in the quadrant.
What is a reference angle?
A main angle of refrence.
What is angle of reference in trigonometry?
This is a VERY important question and I am glad you asked it. First you have to remember that in drawing angles we think of 4 quadrants. Think of the XY plane - the first quadrant is where BOTH X and Y are positive. In the 2nd quadrant the X is negative and the Y is positive. In the 3rd quadrant the X and the Y are negative. In the 4th quadrant the X is positive and the Y is negative. Normally when we draw an angle we draw an angle less than 90 degrees. However, we can draw any angle we want from 0 to 360. However that angle can be represented by an angle less than 90 degrees in a certain quadrant. Take an angle like 120 degrees. That angle is the same as a 60 degree angle in the 2nd quadrant. A 210 degree angle is the same as a 30 degree angle in the 3rd quadrant. A 359 degree angle is the same as a 1 degree angle in the 4th quadrant. Those smaller angles are reference angles. This explanation would be better if I could insert graphs. I have attached a link to a picture. Alpha is the angle and Beta is the reference angle.
What is the reference angle for an angle with a measure of 175ô?
5
Can reference angles be negative?
Certainly. A negative angle is simply clockwise instead of counterclockwise from the zero angle, but this is usually not indicated as such on a drawing.
Find the reference angle for the angle 59 degrees?
90 degrees
What is the reference angle of -370 degree?
A reference angle is the positive angle less than 360 which is coterminal with the given angle. For a negative angle add 360 repeatedly until you gat an answer less than 360. =370 + 360 = -10 -10 +360 = 350
What is the reference angle for -140 degrees?
in order to find the reference angle, an angle less than or equal to 90 degrees formed by the x-axis and the terminal side of an angle, one needs to first find what quadrant on the coordinate plane the angle belongs to. The negative (-) sign in -140 refers to the direction 360 degree turn begins at (and therefore the quadrant it begins at). Instead of taking the regular backwards "C", counterclockwise direction, the turn begins clockwise. To convert it, simply add 360 degrees, to get 220 degrees, an angle in the third quadrant. These are the guidelines to follow when finding reference angles: If angle, A, is in first quadrant then the reference angle will be itself as it is already 90 degrees or under. If angle, A, is in second quadrant then the reference angle will be 180 - A . If angle, A, is in third quadrant then the reference angle will be A - 180 . If angle, A, is in fourth quadrant then the reference angle will be 360 - A " These subtractions are all in reference to the nearest angle of a quadrant and are in degrees. Being in the third quadrant, take the angle, A, and subtract 180 from it to get: 220 - 180 = 40 Thus, the reference angle for -140 degrees is 40 degrees. Follow the same directions for other angles, first determining whether the angle needs to be converted into a positive value (counterclockwise), then locate the quadrant and use the rules above for the specific angle(s) being looked at and asked for.
Can reference angles be negative like -25 degrees?
Aight, always let it be etched on your mind that reference angles a.k.a. basic angles, usually symbolized by an alpha symbol, is an angle that lies in Quadrant 1 (reference angle < 90deg) and it starts in an anti/counterclockwise direction of OX. Whatever you do, make sure the reference angle is contained inside Quadrant 1. How to make it inside Quadrant 1? Well, I believe already knew - 180deg - theta (if theta falls in Q2), theta - 180deg (if theta falls in Q3), 360deg - theta (if theta falls in Q4) and you need not perform any operation if theta falls in Q1 - consider it the reference angle as it is < 90deg. On the other hand, let's say you want to find the reference angle for a negative angle, -theta, remember to omit the negative sign of the negative angle when subtracting to find the reference angle. You don't even need to put a -ive sign in front of 360deg or 180deg or any other special angles in which you're subtracting from or by. Just succinctly think it this way, to find the reference angle for a negative angle, the negative angle is mirrored or inversed to start from Q1 in a counterclockwise direction as usual. The reason to this is because if you experiment it yourself this example: sin (-390deg). [First], If you sketch a circle and make a -390deg revolution from QIV (clockwise direction), you'll notice that -390deg falls back in QIV. So, reference angle = (larger angle, i.e. 390deg) - (smaller angle, i.e. 360deg) = 30deg. Notice that I did not write -390 - (-360) because it will yield a -ive 30 instead. [Next], you wanna recall that only cos theta yields a +ive value in QIV so straightaway you know that sin (-390deg) is -ive. [Now for the intricate part,] check the answer for sin(-390deg) on your calculator. It says -0.5 true? Okay now that you know the value is -ive in QIV, include -ive sign in front of (sin 30deg); what do you get? -0.5 also correct? Okay so back to the question why you really don't want a -ive sign in front of reference angle, if you put -(sin -30deg), you'll get a +0.5 instead which is what you don't want. In a nutshell, just drop the -ive sign in front of -ive angles whenever you tryna find their reference angle. :P sorry too long i know! but helpful
How do you find the complement of a negative angle?
you can't. it's impossible
What is the reference angle for an angle with the measure of 175 degrees?
The reference angle for an angle with the measure of 175 degrees is 5 degrees
What is the reference angle for an angle with a measure of 331degree?
360-331=2929 degrees is your reference angle. Remember your signs, though.
Why is 90 degree not taken as the angle of reference in trigonometry?
The angle of reference is in the first quadrant, and 90 degrees angle is not in the quadrant.
What is a reference angle?
A main angle of refrence.
What is the reference angle for -490 degrees?
When using autocad, 0 degrees was at 3 o' clock, then go anticlockwise for positive, clockwise for negative
What is the reference angle of 90 degrees?
Quadrantals are their own reference angle, so 90 degrees.
