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Cos 195 degree use the trigonometry functions of quadrantal angles and special to find the exact value?
cos(195) = cos(180 + 15) = cos(180)*cos(15) - sin(180)*sin(15) = -1*cos(15) - 0*sim(15) = -cos(15) = -cos(60 - 45) = -[cos(60)*cos(45) + sin(60)*sin(45)] = -(1/2)*sqrt(2)/2 - sqrt(3)/2*sqrt(2)/2 = - 1/4*sqrt(2)*(1 + sqrt3) or -1/4*[sqrt(2) + sqrt(6)]
When does cos X equal sin X?
When the angle X = 45 or 225 degrees, or any other angle that falls at the same position as one of these angles in polar coordinates.
What is 1 eighth of 360 into degrees?
The question is somewhat ambiguous, but the answer is probably 45 degrees.
How many degrees is in an eighth of a turn?
45 degrees. 360 degrees divided by 8 is 45.
What is the supplement of 135 degrees?
The supplement of an angle is the angle that, when added to the original angle, equals 180 degrees. Therefore, to find the supplement of 135 degrees, we subtract 135 from 180. The supplement of 135 degrees is 45 degrees.
Value of cos 315?
cos 315 degrees is 4th quadrant same as cos (-45) degrees which is +0.7071
What is the cot of a 45 degree angle?
1 cot(theta)=cos(theta)/sin(theta) cos(45 degrees)=sqrt(2)/2 AND sin(45 degrees)=sqrt(2)/2 cot(45 deg)=cos(45 deg)/sin(deg)=(sqrt(2)/2)/(sqrt(2)/2)=1
Find out value of sin 45 cos 45 - sin 230?
Assuming that the angles are all stated in degrees: sin(45) = cos(45) = 1/2 sqrt(2) sin(45) cos(45) = (1/2)2 x (2) = 1/2 sin(230) = - 0.7660444 sin(45) cos(45) - sin(230) = 0.5 + 0.7660444 = 1.2660444 (rounded)
Cos 45 degrees equals sin?
cos(45) = sin(45) You can see this as follows: imagine a circle with radius 1. The point on the circle with angle 45 degrees, lies on the line y=x, equally far from the x-axis (cos) as the y-axis (sin). The angle for both must be 45, because x and y are orthogonal: 90 deg, so if the angle with x is 45, then the angle with y must be 90-45=45. So: for this point, both angles are 45, and the distance to x (cos) is equal to the distance to y (sin). Therefore, cos(45) = sin(45). Additionally, cos(45) = sin(45+90) = sin(45+360n) = sin(135+360n) with n integer.
What is cos 495 degree's?
cos(495) = cos(495-360) = cos(135) = -cos(180-135) = -cos(45) = -sqrt(1/2) or -1/sqrt(2)
Why does cos negative theta equals positive theta?
You must think of the unit circle. negative theta is in either radians or degrees and represents a specific area on the unit circle. Remember the unit circle is also like a coordinate plane and cos is the x while sin is the y coordinate. Here is an example: cos(-45): The cos of negative 45 degrees is pi/4 and cos(45) is also pi/4
How do you generate cos wave from sine wave?
By shifting the sine wave by 45 degrees.
X is acute and sin x equals cos x Find cos?
x = 45 degrees sin(x) = cos(x) = 1/2 sqrt(2)
What is six trigonometric ratios of 45 degrees?
sin(45) = cos(45) = 1/sqrt(2) tan(45) = cot(45)= 1 csc(45) = sec(45) = sqrt(2)
Evaluate sin30 plus cos60-2tan45?
using the unit circle, sin 30 + cos 60 - 2tan 45 can be solved as follows: = sin 30 + cos 60 - 2tan 45 = [1/2] + [1/2] - [2(1)] = 1 - 2 = -1
How do you solve sin x plus cos x equals zero?
The statement of the problem is equivalent to sin x = - cos x. This is true for x = 135 degrees and x = -45 degrees, and also for (135 + 180n) degrees, where n is any integer.
What is cos 45 degrees?
Usually you can get the sine or cosine of an angle from a calculator very quickly. However, many calculators won't tell you that the result, which is about 0.707, is exactly 1 / square root of 2, or the equivalent square root of 2 / 2.
