Oh honey, cos 45 degrees is just 0.7071. It's like asking me what color the sky is - it's blue, duh. So, go ahead and plug that number into your trig functions and strut your stuff with that knowledge.
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)]
Use and rearrange the sine ratio: 30*sin(45) = 21.21320344 units
arc cos -0.32 is approx: --------------- | 108.66° | ---------------
Cos(22.5)=0.9238795325
cos 60
cos 45o = 1/√2 = 1/2 x √2 ≈ 0.707
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)]
If tan 3a is equal to sin cos 45 plus sin 30, then the value of a = 0.4.
cos 315 degrees is 4th quadrant same as cos (-45) degrees which is +0.7071
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)
Cot (45 o) = Cos(45) / Sin(45) Note the inversion of Cos and Sin. Cos(45) = sqrt(2) / 2 Sin(45) = sqrt(2) /2 Applying division of fractions. Cot(45) = Cos(45)/Sin(45) = [sqrt(2)/2] / [sqrt(2)/2] => sqrt(2)/2 X 2/Sqrt(2) Note the change of sign and the inversion of terms. Cancel down by '2' sqrt(2)/1 X 1 / sqrt(2) Cancel down again by 'sqrt(2)' . 1/1 x 1/1 = 1/1 = 1 Hence Cot (45 o) = 1
6.25
45 degrees with respect to what?
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.
Use and rearrange the sine ratio: 30*sin(45) = 21.21320344 units
45
cos(-100 degrees)