sin 60 ka man
√3/2 ka man
O.472
Cos 210' ka man what
2/3
sin30 ka man
110
To find the value of sin 60, you can use a scientific calculator or refer to a trigonometric table. However, let me explain how you can derive the answer using the unit circle.
Start by drawing a unit circle, which is a circle with a radius of 1. Label the positive x-axis as 0 degrees or π/2 radians. The positive y-axis will be 90 degrees or π/2 radians.
Since you want to find sin 60, which is equivalent to sin π/3 radians, locate the angle π/3 on the unit circle. This angle is located in the first quadrant and makes a triangle with the x-axis.
The triangle's hypotenuse is the radius of the unit circle, which is 1. The adjacent side is the x-coordinate of the point where the angle intersects the unit circle. In this case, it is 1/2. The opposite side is the y-coordinate, which is (sqrt(3))/2.
Now, you can use the trigonometric definition of sine: sin θ = opposite/hypotenuse. Plugging in the values we have, sin π/3 = (sqrt(3))/2 / 1 = sqrt(3)/2.
Therefore, sin 60 = sqrt(3)/2.