0
The sine of an angle between 0 and 180 degrees is positive. The sine of an angle between 180 degrees and 360 degrees is negative. At 0, 180 and 360 degrees the sine is 0.
The sine is a periodic function with period 360 degrees, so angles differing by a multitude of 360 degrees have the same sine. Hence, for instance, the sines of the angles 0, 360, 720, ... are equal, namely 0.
In any right triangle the sine of one of the non-right angles will be positive, since these are greater than 0 and less than 90 degrees.
What else can I help you with?
What is sine of a negative angle?
The sine of a negative angle is equal to the negative sine of the corresponding positive angle. This is expressed mathematically as (\sin(-\theta) = -\sin(\theta)). This property reflects the odd function nature of the sine function, which means that its graph is symmetric about the origin. Therefore, if you know the sine of a positive angle, you can easily determine the sine of its negative counterpart.
Suppose you know that the sine of an angle is 0.8000 WHat is the angle?
To find the angle whose sine is 0.8000, you can use the inverse sine function (arcsin). The angle is approximately 53.13 degrees in the first quadrant. Additionally, since the sine function is positive in both the first and second quadrants, there is also a second solution: approximately 126.87 degrees.
Which quadrant is sine positive and cosine negative?
Sine is positive and cosine is negative in the second quadrant of the Cartesian coordinate system. In this quadrant, the angle is between 90 and 180 degrees, where the y-coordinate (sine) is positive and the x-coordinate (cosine) is negative. Thus, for any angle in the second quadrant, sine values are above the x-axis, while cosine values are below it.
What is the angle of sine 0.151?
To find the angle whose sine is 0.151, you can use the inverse sine function (arcsin). Using a calculator, the angle is approximately 8.68 degrees or 0.151 radians. Keep in mind that sine is positive in both the first and second quadrants, so the angle could also be 171.32 degrees (or 3.00 radians) if considering the range of possible angles.
What is the size of an angle when the sine is 6352?
the sine of an angle can't be greater than 1.0
What is sine of a negative angle?
The sine of a negative angle is equal to the negative sine of the corresponding positive angle. This is expressed mathematically as (\sin(-\theta) = -\sin(\theta)). This property reflects the odd function nature of the sine function, which means that its graph is symmetric about the origin. Therefore, if you know the sine of a positive angle, you can easily determine the sine of its negative counterpart.
Which angle has a negative sine and a positive cosine?
All the angles in 4th quadrant have positive cosine and negative sine e.g. 280,290,300,310...etc.
Suppose you know that the sine of an angle is 0.8000 WHat is the angle?
To find the angle whose sine is 0.8000, you can use the inverse sine function (arcsin). The angle is approximately 53.13 degrees in the first quadrant. Additionally, since the sine function is positive in both the first and second quadrants, there is also a second solution: approximately 126.87 degrees.
Which quadrant is sine positive and cosine negative?
Sine is positive and cosine is negative in the second quadrant of the Cartesian coordinate system. In this quadrant, the angle is between 90 and 180 degrees, where the y-coordinate (sine) is positive and the x-coordinate (cosine) is negative. Thus, for any angle in the second quadrant, sine values are above the x-axis, while cosine values are below it.
Why does Sine Theta equal Sine 180 minus Theta?
When you subtract theta from 180 ( if theta is between 90 degrees and 180 degrees) you will get the reference angle of theta; the results of sine theta and sine of its reference angle will be the same and only the sign will be different depends on which quadrant the angle is located. Ex. 150 degrees' reference angle will be 30 degrees (180-150) sin150=1/2 (2nd quadrant); sin30=1/2 (1st quadrant) 1st quadrant: all trig functions are positive 2nd: sine and csc are positive 3rd: tangent and cot are positive 4th: cosine and secant are positive
What is the angle of sine 0.151?
To find the angle whose sine is 0.151, you can use the inverse sine function (arcsin). Using a calculator, the angle is approximately 8.68 degrees or 0.151 radians. Keep in mind that sine is positive in both the first and second quadrants, so the angle could also be 171.32 degrees (or 3.00 radians) if considering the range of possible angles.
The sine of a 30 degrees angle equals what?
the sine of a 30 degree angle is 0.5
What is the size of an angle when the sine is 6352?
the sine of an angle can't be greater than 1.0
Is sine of an angle directly proportional to an angle?
No. The sine of an angle is not directly proportional to the angle. It is a function of the angle, but it is periodic, repeating every 360 degrees of the angle.
Why is the sine positive in quadrants 1 and 2?
Sine is = to opposite side/hypotenuse, using a triangle with sides of opposite ~ 1, adjacent ~ 1 and hypotenuse ~ root(2), hypotenuse is always positive, hypotenuse = root(adjacent.squared * opposite.squared) if either is negative, squaring them brings it back to a positive and as the opposite side is the rise from the base line ( 0 degrees through to 180 degrees) it is positive in both quadrants 1 and 2 in quadrant 1, sine= 1/root(2) which is positive in quadrant 2, sine= 1/root(2) which is positive in quadrant 3, sine= -1/root(2) which is negative in quadrant 4, sine= -1/root(2) which is negative so sine is positive in quadrants 1 and 2 and is negative in 3 and 4
What is the sine of angle of incidence divided by the sine of angle of refraction of equal optical density?
It is 1.
Why sine cannot measure angle larger than 45?
It can. The sine function is defined for all numbers--negative, 0, and positive. The function is periodic and repeats every 360 degrees.
