# Trig

Explain how to find the reference angle of 1406 degrees. Find the reference angle.

The reference angle is 34 but how do you get that?

1. 👍
2. 👎
3. 👁
1. 1406º is multiple whole circles (360º each)

divide by 360º ... 1406 / 360 = 3.90555...

multiply the whole number part by 360º, and subtract from 1406º

1406º - 3 * 360º = 326º ... 360º - 326º = 34º
... this is a 34º reference angle in Quad IV

1. 👍
2. 👎

## Similar Questions

1. ### Algebra

Which represents the reference angle for 3pi/4? A) (3 pi)/4 B) pi/3 C) pi/4 D) pi/6 I have no clue on how to do this. (Looking at my unit circle I think A?)

2. ### math

1. Determine the quadrant in which the terminal side of the angle is found and find the corresponding reference angle. theta = 4

3. ### Math

What angle in the first quadrant could you reference to help you find sine and cosine of each of the following angles ? 330 120 113 203

4. ### Geometry

In Triangle RST, SR < ST and RT > ST. If angle R = 2x + 10 and angle T = 3x - 25, which is a possible value of x? f. 25 g. 30 h. 35 j. 40 So far I've just drawn a picture for reference and I've been pondering about the problem for

1. ### trig

what is the reference angle for 17 pi/12?

2. ### trig

an angle with the radian measure of 9pi/5. find radian measure of its reference angle. answers: -4/5, 4pi/5, -pi/5, or pi/5

3. ### Trig

Find the reference angle θ'. θ= -7pi/9

Find the measure of the reference angle for 400 degrees. How would I do this?

1. ### english

Identify what is wrong with each italicized pronoun reference. If the driver hits another car in a moving violation, the cost of your insurance will go up. indefinite pronoun ambiguous reference no specific antecedent