cos(30 deg) = sqrt(3)/2 = 0.8660 approx.
As a first step, I would convert everything to sines and cosines. sin x cot x = sec x - cos x thus becomes: (sin x) (cos x / sin x) = (1 / cos x) - cos x Simplifying: cos x = 1 / cos x - cos x It doesn't look as though they are equal. In fact, if you do the calculations for some specific angle, e.g. 30 degrees, you see that they are not.
To find the hypotenuse with angle a and side b, we use the identity below:cos(a) = b/cWe have a and b, and to find c, we multiply both sides by c and divide both sides by cos(a):c = b/cos(a)c = 5/cos(30)c = 32.41460617mm
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
Cos times Cos
cos(30 = 0.8660254038
cos(30)cos(55)+sin(30)sin(55)=cos(30-55) = cos(-25)=cos(25) Note: cos(a)=cos(-a) for any angle 'a'. cos(a)cos(b)+sin(a)sin(b)=cos(a-b) for any 'a' and 'b'.
Cos(30) = sqrt(3)/2
0.866
cos(30) is an irrational number and so cannot be expressed as a rational fraction. It is (√3)/2.
sin(30) = sin(90 - 60) = sin(90)*cos(60) - cos(90)*sin(60) = 1*cos(60) - 0*sin(60) = cos(60).
cos 60
cos(60) = 0.57 x 60 x cos(60) = 7 x 30 = 210
510 ~ (510-360) ~ 150 Cos 510 = Cos 150 = - Cos 30 = - ( radical 3 ) / 2
cos(30 deg) = sqrt(3)/2 = 0.8660 approx.
If tan 3a is equal to sin cos 45 plus sin 30, then the value of a = 0.4.
30 degrees explanation 2Cosx-radical 3=0 Then 2cosx=radical 3 and cos x=(radical 3)/2 Now remember that cos 300 is (radical 3)/2 from the 30/60/90 triangle. So the answer is 30 degrees.