What quadrant does 7pi 6 lie in?

What quadrant does 7pi 6 lie in?

The angle is in the third quadrant.

What is reference angle of?

Definition of Reference Angle: Let θ be a non-quadrantal angle in standard position. The reference angle of θ is the acute angle θR that the terminal side of θ makes with the x-axis. If θ is in QI, θR = θ If θ is in QII, θR = 180° – θ or π – θ

Does 90 degrees have a reference angle?

Since 90° is in the first quadrant, the reference angle is 90° .

What is the reference angle of 480?

60°
Thus, the reference angle of 480° is 60°. This is how we can find reference angles of any given angle.

What is the reference angle of 235?

55 degrees
The reference angle for 235 is 55 degrees. If the terminal side of the angle is in the fourth quadrant, we take the angle and subtract it from 360 degrees.

Is 7pi 6 the same as pi 6?

7pi / 6 is just a bit larger than pi. Thus the angle is in the 3rd quadrant, and the angle from the -x axis is pi/6.

What is the exact value of Cos(pi/6)?

Tap for more steps… Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the third quadrant. The exact value of cos ( π 6) cos ( π 6) is √ 3 2 3 2.

How do you write – Pi – π as a fraction?

Simplify the result. Tap for more steps… To write − π – π as a fraction with a common denominator, multiply by 6 6 6 6. Combine fractions. Tap for more steps… Combine − π – π and 6 6 6 6. Combine the numerators over the common denominator. Simplify the numerator. Tap for more steps… Multiply 6 6 by − 1 – 1. Subtract 6 π 6 π from 7 π 7 π.

What is the exact value of sin( π 6) Sin(Pi6)?

Tap for more steps… Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because sine is negative in the third quadrant. The exact value of sin ( π 6) sin ( π 6) is 1 2 1 2. Set up the coordinates (cos(θ),sin(θ)) ( cos ( θ), sin ( θ)).

What is the exact value of SEC(π 6) SEC( π 6)?

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because secant is negative in the third quadrant. The exact value of sec(π 6) sec ( π 6) is 2 √3 2 3.