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square root 2 divided by 2
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), because the angle is 45 for both (because x and y are orthogonal: 90 deg).
We have cos^2 + sin^2 = 1 . But from the above we know that cos(45) must be equal to sin(45), because they represent the distances to x and y axis respectively, and the point is exactly inbetween, so the distances are equal.
We get cos^2 + sin^2 = cos^2 + cos^2 = 2cos^2 = 1
cos = 1/sqrt(2) = sqrt(2) / 2
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What is 6 divided by cos 45?
0.1333
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.
Fill in the blank Cos equals Sin 45?
45
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)
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
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)]
Value of cos 315?
cos 315 degrees is 4th quadrant same as cos (-45) degrees which is +0.7071
What is the cos of a 45 degree angle?
cos 45o = 1/√2 = 1/2 x √2 ≈ 0.707
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
Sin x plus cos x?
sin(x) + cos(x) = sqrt(2) · sin(45°+x)
Find the value of a if tan 3a is equal to sin cos 45 plus sin 30?
If tan 3a is equal to sin cos 45 plus sin 30, then the value of a = 0.4.
