The exact value of sin(π2) sin ( π 2 ) is
1
.
What is the exact value of sin pi?
What is the value of sin pi? In trigonometry, we use pi (π) for 180 degrees to represent the angle in radians. Hence, sin π is equal to sin 180 or
sin π = 0
.
Is sin pi 2 undefined?
Explanation: Trigonometric functions are equal to 0, 1, -1 or undefined when the angle lies on an axis, meaning that the angle is equal to 0, 90, 180 or 270 degrees (0, (pi)/2, pi or 3(pi)/2 in radians.) …
The value of sin (pi) is 0
, so the cosecant of pi must be undefined.
What is 2 pi called?
Last year, Palais’ followers gave the new constant, 2pi, a name:
tau
. Since then, the tau movement has steadily grown, with its members hoping to replace pi as it appears in textbooks and calculators with tau, the true idol of math.
Why is tan pi 2 Infinity?
In algebraic sense, it is just an undefined quantity. You have no way to assign a value to tan(π/2) so that its
value is compatible with usual algebraic rules together with
the trigonometric identities. Thus we have to give up either the algebraic rules or the definedness of tan(π/2).
What is the value of sin 4 pi by 3?
The exact value of sin(π3) sin ( π 3 ) is
√32
.
Why is PI 180 degrees?
We’re talking about radian measure of angles. … One degree in radians, always remember that 180 degree equals pi. 180 degrees equals pi radians, so to
get one degree divide both sides by 180
.
What is sin PI 4 in terms of pi?
Trigonometry Examples
The exact value of sin(π4) sin ( π 4 ) is
√22
.
Is 2 pi a full circle?
We say that radian measure is dimesionless. … They simply announce that
once around the circle is 2π radians
. (Some say 360∘ is the same as 2π radians.) This makes it look arbitrary when it is not arbitrary at all.
How many radians is 2 pi?
There are 2π radians in a full circle. (So 2π radians should equal 360°. Check it out by multiplying 57.30° by 2π =
6.283
.
How was pi calculated?
Here’s a brief history of finding π. The
ancient Babylonians calculated the area of a circle by taking 3 times the square of its radius
, which gave a value of pi = 3. … The Egyptians calculated the area of a circle by a formula that gave the approximate value of 3.1605 for π.
What is the value of tan Pi by 3?
Answer: The exact value of tan (pi/3) is
⎷3
.
Why is tan Pi undefined?
Because tan(x) is defined as being equal to sin(x)/cos(x), and cos(π/2)=0. So tan(π/2)=1/0, which is undefined
because of the division by zero
.
What is cos at Pi 2?
cos(π2)=
0
.
What is the value of sin 2 pi by 3?
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. The exact value of sin(π3) sin ( π 3 ) is
√32
.
What is the value of sin 5 Pi by 6?
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. The exact value of sin(π6) sin ( π 6 ) is
12
.
