sin(theta) is the y-coordinate of the intersection of a line forming an angle with the positive x-axis and the unit circle (i.e., circle of radius one, centered at the origin). The unit circle has its highest y-value at the point (0,1). Drawing the unit circle on a graph makes this obvious.
Assume that there were a higher y-value than one possible. y>1 --> y2>1. Because x2>=0 for all real x, y2>1 --> x2+y2>1, which is impossible for a point on the unit circle (since for all points on the unit circle (x,y), x2+y2=1).
tangent will always be larger because its denominator is smaller than sine's.
the sine of an angle can't be greater than 1.0
It can. The sine function is defined for all numbers--negative, 0, and positive. The function is periodic and repeats every 360 degrees.
A sine bar becomes impractical for angles larger than 45 degrees because the height of the workpiece must be increased to maintain the correct angle, which can lead to stability issues and difficulty in obtaining precise measurements. Additionally, as the angle increases, the required length of the sine bar increases, making it less manageable and harder to set up accurately. Furthermore, the sine bar's effectiveness diminishes due to the geometry involved, as larger angles may lead to increased errors in measurement.
Well, the easiest way to go at it is simply to remember thatthe sine and cosine of any angle are always less than 1 .
tangent will always be larger because its denominator is smaller than sine's.
the sine of an angle can't be greater than 1.0
No angle has a sine function greater than 1.
It can. The sine function is defined for all numbers--negative, 0, and positive. The function is periodic and repeats every 360 degrees.
No. The sine of an acute angle is less than 1. An acute angle is less than 90 degrees. The sine of 0 degrees is 0, and the sine of 90 degrees is +1. So the sines of the angles between 0 degrees and 90 degrees are less than 1.
A sine bar becomes impractical for angles larger than 45 degrees because the height of the workpiece must be increased to maintain the correct angle, which can lead to stability issues and difficulty in obtaining precise measurements. Additionally, as the angle increases, the required length of the sine bar increases, making it less manageable and harder to set up accurately. Furthermore, the sine bar's effectiveness diminishes due to the geometry involved, as larger angles may lead to increased errors in measurement.
Well, the easiest way to go at it is simply to remember thatthe sine and cosine of any angle are always less than 1 .
No, the co-secant (csc) of an angle cannot be less than 1 or greater than -1. This is because the co-secant is defined as the reciprocal of the sine function (csc(θ) = 1/sin(θ)). Since the sine of an angle ranges from -1 to 1, the co-secant will either be greater than or equal to 1 when sine is positive or less than or equal to -1 when sine is negative.
An obtuse angle is larger than a acute angle
We'll answer your question as asked. What was asked was, "What is the sine of the angle (the angle theta) if the angle measures 0.4384?" That's the way the question reads. That's a pretty small angle. Less than one degree. That angle has about 0.00765 as the sine. Perhaps the question was "What is the angle of theta if its sine is 0.4384?" In the event that this was really your question, if sine theta equals 0.4384, arcsine theta is about 23.00 degrees. Here we use the term arcsine. If we see "arcsine 0.4384" in a text, what it means is "the angle whose sine is 0.4384" in math speak.
no - nor less than minus 1.
Draw an angle that is larger than a right angle label the vertex k