(sqrt 2) / 2
The sine of 75 degrees is about 0.9659
To find the quadrant and sign of the cotangent function for -495 degrees, first, convert it to a positive angle by adding 360 degrees until the angle is within the standard range. -495 + 720 = 225 degrees. The angle 225 degrees is in the third quadrant, where both sine and cosine are negative, making cotangent (which is the ratio of cosine to sine) positive. Thus, cot(-495 degrees) is positive and located in the third quadrant.
sine 40° = 0.642788
Sine(30) = 0.5 or 1/2
(sqrt 2) / 2
Sine of 225 degrees = - 0.5 sqrt(2)
225 degrees
The sine of 75 degrees is about 0.9659
To find the quadrant and sign of the cotangent function for -495 degrees, first, convert it to a positive angle by adding 360 degrees until the angle is within the standard range. -495 + 720 = 225 degrees. The angle 225 degrees is in the third quadrant, where both sine and cosine are negative, making cotangent (which is the ratio of cosine to sine) positive. Thus, cot(-495 degrees) is positive and located in the third quadrant.
It's not. The sine of 32 degrees is approximately 0.53. The sine of 59 degrees is approximately 0.86. For a definition of sine, see: http://en.wikipedia.org/wiki/Trigonometric_function .
The sine of 22.5 degrees is 0.383
sine-1(0.3420201433) = 20 degrees
The arc-sine (or inverse sine) of 45 degrees is the angle whose sine value is equal to the sine of 45 degrees. Since the sine of 45 degrees is ( \frac{\sqrt{2}}{2} ), the arc-sine of ( \frac{\sqrt{2}}{2} ) is 45 degrees. Therefore, the arc-sin of 45 degrees is also 45 degrees, given that it falls within the principal range of the inverse sine function.
The sine of 52.5 degrees equals 0.79335334029124. Hope I helped!
sin77 = 0.974 Therefore the sine of 77 degrees is 0.974
sine 40° = 0.642788
sine(15 degrees) = 0.25882 (rounded)