Table of Contents
How do you prove that sin 0 is 0?
Answer) Basically, sin(x) can be defined as (opposite side of a triangle/ adjacent side of a triangle). If the value of the angle between the hypotenuse and the adjacent side is equal to zero, then there is no opposite side, which means the length of the opposite is zero. Hence, the ratio is equal to zero.
What is the value of sine at 0?
The exact value of sin(0) is 0 .
Why is the sine of pi zero?
Originally Answered: Why is sin of pi equal to 0? sin(pi)=0 because at 180 degrees (which is pi radians), shows that when the “opposite” length of the magic triangle is zero (only happens at zero degrees and 180 degrees)… that the SIN function (opposite over hypotenuse) is always zero !!!!
What is sin 0 on the unit circle?
On the unit circle, the x-coordinate at each position is the cosine of the given angle, and the y-coordinate is the sine. For θ=0 , the rightmost point, the coordinate pair is (1, 0). The y-coordinate is 0, so sin(0)=0 .
Where is Sinx undefined?
Trigonometric functions are undefined when they represent fractions with denominators equal to zero. Cosecant is the reciprocal of sine, so the cosecant of any angle x for which sin x = 0 must be undefined, since it would have a denominator equal to 0.
Which trig functions are not defined at 0?
Definitions: Tangent, Cotangent, Secant, Cosecant The tangent function isn’t defined where the cosine is zero; this happens at the terminal points (0,1) and (0,−1) . Thus, tangent is not defined for t=kπ2 t = k π 2 for odd integers k : k=…,−5,−3,−1,1,3,5,… k = … , − 5 , − 3 , − 1 , 1 , 3 , 5 , …
What is value of sine?
0
As can be seen from the figure, sine has a value of 0 at 0° and a value of 1 at 90°. Cosine follows the opposite pattern; this is because sine and cosine are cofunctions (described later). The other commonly used angles are 30° ( ), 45° ( ), 60° ( ) and their respective multiples.
Does sin pi equal?
The value of sin pi is 0. Sin pi can also be expressed using the equivalent of the given angle (pi) in degrees (180°). Since the sine function is a periodic function, we can represent sin pi as, sin pi = sin(pi + n × 2pi), n ∈ Z. ⇒ sin pi = sin 3pi = sin 5pi , and so on.
Why is sec270 undefined?
Secant is defined as 1cos(x) Since 270 represents the point (0,−1) , you have cos(270°)=0 . You cannot divide by zero, and thus the secant is not defined for that angle.
Which trigonometric function has a value of 0?
Sine Definition In Terms of Sin 0
| Angle | 00 | 2700 |
|---|---|---|
| Sin A | 0 | -1 |
| Cos A | 1 | 0 |
| Tan A | 0 | Undefined |
What is the value of sin 0?
Sin 0 signifies that the value of x coordinate is 1 and the value of y coordinate is 0,i.e. (x,y) is (1,0). That means the value of the opposite side or perpendicular is zero and the value of hypotenuse is 1. From the above equation, we have yield sin 0 degrees value.
What is cosine Theta if sin 0 is 0?
Thus, if sin theta is 0, then cosine theta is 90. This works with any other value for theta. For example, let’s say sin (theta) was 60 degrees. Then, cosine (theta) would be 30 degrees. And this is why sin (0) is 0. (Theta is a variable that is often used in trigonometry.) (All these values are in degrees, not radians.)
What is Sine in terms of sin?
Sine Definition In Terms of Sin 0 Sine Degrees/Radians Values Sin 90 0 or Sin π/2 1 Sin 180°c or Sin π 0 Sin 270° or Sin 3π/2 -1 Sin 360° or Sin 2π 0
Is zero a real number?
Yes, Zero is a real number, both is the technical sense, an element of R, the set of reals, and in the everyday sense that it’s useful to have a symbol for nothing among our symbols for quantities.