The value of cos(5pi/2) is equal to 0. The formula of cos(5π/2) is given by
$\boxed{\cos \dfrac{5\pi}{2} = 0}.$
Cos(5pi/2) is the value of cosine trigonometric function for 5π/2 radians. Note that
- cos(5π/2) = 0.
- cos(5π/2) in degrees is equal to cos 450°.
- cos 450° = 0.
What is the Value of Cos 5pi/2?
Answer: cos(5π/2) is equal to 0.
Explanation:
Note that 5π/2 can be written as follows.
$\dfrac{5\pi}{2}=2\pi +\dfrac{\pi}{2}$.
Now using the formula cos(2π+θ)=cosθ, we obtain that
$\cos(\dfrac{5\pi}{2})=\cos(2\pi +\dfrac{\pi}{2})$.
= $\cos \dfrac{\pi}{2}$
= 0.
So the value of cos 5pi/2 is equal to 0.
Also Read: Sin(π-x) Formula | Value of sin(3π/2)
Value of cos(-5pi/2)
By the rule cos(-θ) = cosθ, we have that
cos(-5π/2) = cos(5π/2) = 0, by the above.
∴ cos(-5π/2) = 0.
Therefore, the value of cos(-5pi/2) is equal to 0.
More Reading:
Value of sin15, cos 15, tan 15
Value of sin75, cos 75, tan 75
FAQs
Q1: What is the value of cos 5pi/2?
Answer: The value of cos 5pi/2 is equal to 0.
Q2: What is the value of cos(-5pi/2)?
Answer: The value of cos(-5pi/2) is equal to 0.