Find the Value of sin(5pi/2) | Sin 5π/2 Value

The value of sin(5pi/2) is equal to 1. The angle 5π/2 is equivalent to 450° and the value of sin 450° is equal to 1. The sin 5π/2 formula is given by

$\sin \dfrac{5\pi}{2}=1.$

Let us learn how to find the value of sin(5pi/2).

Value of Sin(5π/2)

Answer: The value of sin 5π/2 is 1.

Explanation:

By using the formula sin(a+b) =sina cosb +cosa sinb, the value of sin(5π/2) will be equal to

$\sin \dfrac{5\pi}{2}$ $=\sin (2\pi+ \dfrac{\pi}{2})$

= $\sin 2\pi \cos \dfrac{\pi}{2} + \cos 2\pi \sin \dfrac{\pi}{2}$

= 0 ⋅ 1 + (-1)²⋅1 as we know sin nπ =0, cos nπ =(-1)ⁿ, sin(π/2)=1, cos(π/2)=0.

= 0+1

= 1.

So the value of sin(5π/2) is equal to 1.

Also Read: Sin(π-x) Formula | Value of sin(3π/2)

value of cos 5π/2 | Value of cos 7π/2

Value of Sin(-5pi/2)

By using the rule sin(-θ) = -sinθ, the value of sine of negative 5pi/2 will be equal to

sin(-5π/2) = -sin(5π/2) = -1, by the above.

∴ sin(-5π/2) = -1.

Thus, the value of sin(-5π/2) is equal to -1.

You Can Read:

Formula of sin(a+b) sin(a-b)

Value of sin15, cos 15, tan 15

FAQs