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Sin30 cos90 sin 90 cos30?
To simplify the expression sin(30°) cos(90°) sin(90°) cos(30°), we first evaluate the trigonometric functions at the given angles. sin(30°) = 1/2, cos(90°) = 0, sin(90°) = 1, and cos(30°) = √3/2. Substituting these values into the expression, we get (1/2) * 0 * 1 * (√3/2) = 0. Therefore, the final result of sin(30°) cos(90°) sin(90°) cos(30°) is 0.
What is Cos 15?
The cosine of 15 degrees can be calculated using the cosine subtraction formula: ( \cos(15^\circ) = \cos(45^\circ - 30^\circ) ). This gives us ( \cos(15^\circ) = \cos 45^\circ \cos 30^\circ + \sin 45^\circ \sin 30^\circ ). Plugging in the known values, ( \cos 45^\circ = \frac{\sqrt{2}}{2} ), ( \cos 30^\circ = \frac{\sqrt{3}}{2} ), ( \sin 45^\circ = \frac{\sqrt{2}}{2} ), and ( \sin 30^\circ = \frac{1}{2} ), we find that ( \cos 15^\circ = \frac{\sqrt{6} + \sqrt{2}}{4} ).
What is the cosine 30 degrees?
cos(30 deg) = sqrt(3)/2 = 0.8660 approx.
How do you verify sinx cotx equals secx-cos x?
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.
How do you find hypotenuse c angle a equals 30 deg side b equals 5 mm?
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
What is cos 30?
cos(30 = 0.8660254038
What is this expression as the cosine of an angle cos30cos55 plus sin30sin55?
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'.
What is cos 30 degrees?
Cos(30) = sqrt(3)/2
What is the cosine of 30?
Cos(30) = sqrt(3)/2 = 0.866025403..
What is the cos of 30?
0.866
What is cos 30 in a fraction?
cos(30) is an irrational number and so cannot be expressed as a rational fraction. It is (√3)/2.
Sin30 cos90 sin 90 cos30?
To simplify the expression sin(30°) cos(90°) sin(90°) cos(30°), we first evaluate the trigonometric functions at the given angles. sin(30°) = 1/2, cos(90°) = 0, sin(90°) = 1, and cos(30°) = √3/2. Substituting these values into the expression, we get (1/2) * 0 * 1 * (√3/2) = 0. Therefore, the final result of sin(30°) cos(90°) sin(90°) cos(30°) is 0.
Why is sine 30 the same as cosine of 60?
sin(30) = sin(90 - 60) = sin(90)*cos(60) - cos(90)*sin(60) = 1*cos(60) - 0*sin(60) = cos(60).
What is Cos 15?
The cosine of 15 degrees can be calculated using the cosine subtraction formula: ( \cos(15^\circ) = \cos(45^\circ - 30^\circ) ). This gives us ( \cos(15^\circ) = \cos 45^\circ \cos 30^\circ + \sin 45^\circ \sin 30^\circ ). Plugging in the known values, ( \cos 45^\circ = \frac{\sqrt{2}}{2} ), ( \cos 30^\circ = \frac{\sqrt{3}}{2} ), ( \sin 45^\circ = \frac{\sqrt{2}}{2} ), and ( \sin 30^\circ = \frac{1}{2} ), we find that ( \cos 15^\circ = \frac{\sqrt{6} + \sqrt{2}}{4} ).
What is cos15 degrees?
The cosine of 15 degrees can be calculated using the cosine subtraction formula: (\cos(15^\circ) = \cos(45^\circ - 30^\circ)). This gives us (\cos(15^\circ) = \cos(45^\circ)\cos(30^\circ) + \sin(45^\circ)\sin(30^\circ). Substituting the known values, (\cos(45^\circ) = \frac{\sqrt{2}}{2}), (\cos(30^\circ) = \frac{\sqrt{3}}{2}), (\sin(45^\circ) = \frac{\sqrt{2}}{2}), and (\sin(30^\circ) = \frac{1}{2}), we find that (\cos(15^\circ) = \frac{\sqrt{6} + \sqrt{2}}{4}).
What is the cofunction of sin 30 degree?
cos 60
What is 7 x 60 x cos 60 equals?
cos(60) = 0.57 x 60 x cos(60) = 7 x 30 = 210
