Question

find the value of sin (10pie /3). ​

Answer 1

Answer:

Precalculus Examples

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(π3) sin ( π 3 ) is √32 .

  By Solving:

10π/3 implies that angle lies in the third Quadrant.  How?  Subtract 10π/3 by 2π to get..

10π/3 - 2π = 10π/3 - 6π/3 = 4π/3

Now, use this form to get..

sin(x + π) = -sin(x)

Let x + π = 4π/3 → x = π/3, so..

sin(π/3 + π) = -sin(π/3) = -√(3)/2

--------------------------------------------Good Luck-------------------------------------------------