Question

find reference angle for 4pi/5

Answer 1

Answer:If it's less than 180 degrees, which it is, subtract 4π/5 π from (180 degrees)  

so π - 4π/5 is equal to π/5.

Step-by-step explanation:

Quad. 1 For an angle, T, 0 < T< pi/2 then the ref angle = T  

Quad 2 For an angle, T, pi/2 < T< pi then the ref angle = pi - T  

Quad 3 For an angle, T, pi < T< 3pi/2 then the ref angle = T - pi  

Quad 4 For an angle, T, 3pi/2 < T< 2pi then the ref angle = 2pi - T

Answer 2

The reference angle of 4π/5 is  π/5.

What is reference angle?

Reference angle is the positive acute angle which is made by the x axis and terminal side of that given angle.

For α<90° i.e. in 1st quadrant, reference angle is α

For 90°<α<π i.e. in 2nd quadrant, reference angle is π-α

For π<α<3π/2 i.e. in 3rd quadrant, reference angle is α-π

For 3π/2<α<2π i.e. in 4th quadrant, reference angle is 2π-α

Here the angle  is 4π/5 which is less than π

So the reference angle is = π-(4π/5)=π/5

Therefore the reference angle of 4π/5 is  π/5.

Learn more about reference angle.

Here : https://brainly.com/question/1603873

#SPJ2