The maximum of the sine and cosine functions is +1, and the minimum is -1.
What are the likely maximum and minimum values for this measurement 20.4+_0.1cm
Try calculating the sine functions on a scientific calculator, then do the division. And make sure the calculator is set to the correct angular measurement (radians, or degrees, whatever you want to calculate).
You cannot. Sine is a ratio, degrees are a unit of measurement for angular displacement. The two measure different things and, according to basic principles of dimensional analysis, any attempt at conversion from one to the other is fundamentally flawed.
sine 810 = sine 90 = 1
94.5 degrees
The maximum of the sine and cosine functions is +1, and the minimum is -1.
They are used to find the angle or side measurement of a right triangle. For example, if 2 sides of a right triangle have known values and an angle has a known measurement, you can find the third side by using sine, cosine or tangent.
What are the likely maximum and minimum values for this measurement 20.4+_0.1cm
360 degrees
Theta is just a Greek letter used to denote measurement of angle. Sine is a trigonometric function, i.e., the ratio of the side opposite to the angle theta to the hypotenuse of the triangle. So Sine theta means the value of sine function for angle theta, where theta is any angle.
We often see the peak and trough (maximum positive and maximum negative excursions) of the sine wave considered as points of momentarily constant voltage. Those points are at phase angles of 90 degrees and at 270 degrees.
Try calculating the sine functions on a scientific calculator, then do the division. And make sure the calculator is set to the correct angular measurement (radians, or degrees, whatever you want to calculate).
If you look at the definition of the sine function in a triangle, you'll discover that the maximum possible value of the sine function is ' 1 ' and the minimum possible value is ' -1 '. There's no angle that can have a sine greater than ' 1 ' or less than ' -1 '. So the absolute value of the sine of anything is always ' 1 ' or less.
The amplitude of a sine wave is increasing at its fastest rate at the maximum points (90°, 270°) and decreasing at its fastest rate at the minimum points (0°, 180°).
You cannot. Sine is a ratio, degrees are a unit of measurement for angular displacement. The two measure different things and, according to basic principles of dimensional analysis, any attempt at conversion from one to the other is fundamentally flawed.
In angle measurement, 60 minutes = 1° 57° 12' = 57.2 ° Sin 57.2 = 0.84057 (5dp)