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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
What is the value of sin π and cos π?
Solution:
In a right angle triangle, sin(θ) is the ratio of the opposite(perpendicular) side to the hypotenuse, while cos(θ) is the ratio of the base(adjacent) side to the hypotenuse.
π = 180º and π/2 = 90º
Using trigonometric identity, sin θ = cos (90º - θ) and cos θ = sin (90º - θ)
sin (π) = cos (π /2 - π) = cos (-π /2) = 0
∴ sin (π) = -0 or 0
cos (π) = sin (π /2 - π) = sin (-π /2) = -1
∴ cos(π) = -1
Thus, the value of sin π is 0 and cos π is -1.
What is the value of sin π and cos π?
Summary:
The value of sin π is 0 and cos π is -1.
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