Question

What is sin 360 degrees?

Answer 1

Hint: Given is a trigonometric function with a particular angle given in degrees. We are asked to find the value of that function for that angle. The angle is \[{360^ \circ }\] or \[2\pi \] we can say. We have an idea that \[\sin n\pi = 0\] so we will use it here.

Complete step-by-step answer:
Given sine function from the six main trigonometric rather from three main functions. Sine function is valued zero for angle measuring zero.
Then it is valued one as the angle moves towards the second quadrant.
Then at the end of the second quadrant it is again zero.
This repeats but at the end of the third quadrant it is negative. And by the end of the fourth quadrant it again reaches zero.
Given is the angle that is the end of the third quadrant and the main line or positive x axis again.
Thus we know that \[\sin n\pi = 0\]
Thus \[{360^ \circ }\] is nothing but \[2\pi \] .
Thus the answer is sin \[{360^ \circ }\] is zero.
So, the correct answer is “0”.

Note: Students note that these values are very basic in trigonometry or I would say geometry and construction also. All functions are having their own way of valuing and they change from quadrant to quadrant. We have formulas of multiple and additional angles to go through these types of problems.