( 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.
[tex]cosec ~ A = \frac{1}{sin ~ A}[/tex]
[tex]sec ~ A = \frac{1}{cos ~ A}[/tex]
[tex]cot ~ A = \frac{1}{tan ~ A}[/tex]
[tex]tan ~ A = \frac{sin ~ A}{cos ~ A}[/tex]
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 :
[tex]1 ~ rad = ( \frac{180}{\pi} )^o[/tex]
[tex]\frac{5 \pi}{3} ~ rad = ( \frac{5 \pi}{3} \times \frac{180}{\pi} )^o[/tex]
[tex]\frac{5 \pi}{3} ~ rad = ( \frac{900 {\pi}}{3 \pi} )^o[/tex]
[tex]\large {\boxed {\frac{5 \pi}{3} ~ rad = 300^o} }[/tex]
Learn more
- Calculate Angle in Triangle : https://brainly.com/question/12438587
- Periodic Functions and Trigonometry : https://brainly.com/question/9718382
- Trigonometry Formula : https://brainly.com/question/12668178
Answer details
Grade: College
Subject: Mathematics
Chapter: Trigonometry
Keywords: Sine , Cosine , Tangent , Opposite , Adjacent , Hypotenuse
