© 2023 Sorting Hat Technologies Pvt Ltd
Let us follow the given
Sin(pi-x)
Now, we have to prove that sin (pi–x) = sin (x)
For this, we have to imply the sine subtraction formula which is
Sin (a-b) = sin(a) cos(b) – cos(a) sin(b)
Moving forward assuming the a = π & b = x
Sin (π-x) = sin (π) cos (x) – cos (π) sin (x)
= 0 * {cos (x)} – {-1 * sin(x)}
Now 0 – {-sin (x)}
That is equal to sin (x)
Hence proved that sin (pi-x) = sin (x)
Answer is seemingly easy to calculate.
Time to try it out & learn it in an interesting method.