Question

What is 5 pi over 3 radians in degrees? 60° 120° 210° 300°

Answer 1

We are asked in the given problem to convert 5 pi over 3 from radians to degrees. In this case, the conversion factor is 180 degrees / pi. So, from the given data, 5 pi / 3 * (180/pi), cancelling pi, the answer is 300 degrees. This angle is found in the fourth quadrant. 

Answer 2

( 5π/3 ) radians = 300°

Further explanation

Firstly , let us learn about trigonometry in mathematics.

Suppose the ΔABC is a right triangle and ∠A is 90°.

sin ∠A = opposite / hypotenuse

cos ∠A = adjacent / hypotenuse

tan ∠A = opposite / adjacent

There are several trigonometric identities that need to be recalled, i.e.

$cosec ~ A = \frac{1}{sin ~ A}$

$sec ~ A = \frac{1}{cos ~ A}$

$cot ~ A = \frac{1}{tan ~ A}$

$tan ~ A = \frac{sin ~ A}{cos ~ A}$

Let us now tackle the problem!

There are several units for angles for example :

1 revolution = 360°

2π radian = 360°

1 radian = (180/π)°

If we would like to convert (5π/3) radians into degrees , then :

$1 ~ rad = ( \frac{180}{\pi} )^o$

$\frac{5 \pi}{3} ~ rad = ( \frac{5 \pi}{3} \times \frac{180}{\pi} )^o$

$\frac{5 \pi}{3} ~ rad = ( \frac{900 {\pi}}{3 \pi} )^o$

$\large {\boxed {\frac{5 \pi}{3} ~ rad = 300^o} }$

Learn more

• Calculate Angle in Triangle : brainly.com/question/12438587
• Periodic Functions and Trigonometry : brainly.com/question/9718382
• Trigonometry Formula : brainly.com/question/12668178

Answer details

Grade: College

Subject: Mathematics

Chapter: Trigonometry

Keywords: Sine , Cosine , Tangent , Opposite , Adjacent , Hypotenuse