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(Assuming 100 is 100 degrees)
cos 100 degrees is equal to - sin 10 degrees.
In radians, this is - sin (pi/18).
Approximating pi as 22/7, this is - sin (11/63)
Using four terms of a Taylor series, this is approximately:
- (11/63) + (11/63)^3 /6 - (11/63)^5 / 120 + (11/63)^7 / 5040.
- (11/63) + (11^3/63^3) /6 - (11^5/63^5) / 120 + (11^7/63^7) / 5040.
Rewriting the fractions with the common denominator 63^7:
- (11*63^6/63^7) + (11^3*63^4/63^7) /6 - (11^5*63^2/63^7) / 120 + (11^7/63^7) / 5040.
Rewriting again with common denominators of 5040:
- 5040*(11*63^6/63^7)/5040 + 840*(11^3*63^4/63^7)/5040 - 42*(11^5*63^2/63^7) / 5040 + (11^7/63^7) / 5040.
Now add it all up:
[- 5040*11*63^6 + 840*11^3*63^4 - 42*11^5*63^2 + 11^7] / (5040*63^7)
Now, some seriously long multiplication gives:
(- 3466302962466960 + 17612440516440 - 26846879598 + 19487171) / 19852462421401680
Some really easy addition:
-3448717349342947 / 19852462421401680
And finally, do the long division:
-0.17371735939 ... and so on.
The actual value is -0.17364817766693034885171662676931
So, I got 3 decimal places right. Maybe use a better approximation of pi (like 355/113) and more terms of the Taylor series. But you get the picture.
What else can I help you with?
What is cosine of 23 degree angle?
This can be done on a graphing calculator by making sure you have your calculator in degrees mode, and then tentering the cos(23). You get an answer of 0.9205048535.
How do you solve COS?
To solve for the cosine (COS) of an angle, you can use the unit circle, where the cosine of an angle corresponds to the x-coordinate of the point on the circle at that angle. Alternatively, you can use trigonometric identities or the cosine function on a scientific calculator by inputting the angle in degrees or radians. For specific problem solving, using the cosine rule in triangles may also be applicable to find unknown sides or angles.
What is cos on a calculator mean?
Cos is short for Cosine ( Complementary Sine) Similrly Sin is short for Sine Tan is short for Tangent.
If cos and theta 0.65 what is the value of sin and theta?
You can use the Pythagorean identity to solve this:(sin theta) squared + (cos theta) squared = 1.
How do you find cosine on a scientific calculator?
First make sure the calculator is in 'Degree Mode'. Then press 'Cos' , followed by the angle in degrees, say '60' degrees, then press equals (=), and the answer should read '0.5'. NB If the calculator is in 'Radiuan Mode' Press 'Cos' followed by ' pi' divide '3' . Then equals (=) , again the answer should be '0.5'.
How do you solve the equation negative 3 cos t equals 1 in the interval from 0 to 2 pi?
Isolate cos (t): cos(t)=1/3. Use a calculator from here because the answer is not an integer or a simple number.
How do you find cos 60?
cos(60) = 0.5 The simplest way is to use a calculator.
How do you put sec in a TI 84 calculator?
For any calculator Sec(Secant) = 1/Cos Csc (Cosecant) = 1/ Sin Cot (Cotangent) = 1/Tan
How do I solve for X 5cos x 2 plus 8 5 cos x 5?
To solve the equation (5 \cos(x)^2 + 8 \cdot 5 \cos(x) = 0), first factor out (5 \cos(x)): [5 \cos(x)(\cos(x) + 8) = 0.] This gives two cases to solve: (5 \cos(x) = 0) (which leads to (\cos(x) = 0)) and (\cos(x) + 8 = 0) (which is not possible since the range of (\cos(x)) is ([-1, 1])). Therefore, solve (\cos(x) = 0) to find (x = \frac{\pi}{2} + n\pi), where (n) is any integer.
What is cosine of 23 degree angle?
This can be done on a graphing calculator by making sure you have your calculator in degrees mode, and then tentering the cos(23). You get an answer of 0.9205048535.
How do you enter cosign on a scientific calculator?
Press the button labeled "COS"
How do you solve COS?
To solve for the cosine (COS) of an angle, you can use the unit circle, where the cosine of an angle corresponds to the x-coordinate of the point on the circle at that angle. Alternatively, you can use trigonometric identities or the cosine function on a scientific calculator by inputting the angle in degrees or radians. For specific problem solving, using the cosine rule in triangles may also be applicable to find unknown sides or angles.
What is cos on a calculator mean?
Cos is short for Cosine ( Complementary Sine) Similrly Sin is short for Sine Tan is short for Tangent.
What button on the graphing calculator is arc cos?
It is usually [Shift] [cos] though on some calculators it may be [2ndF] [cos] The arc cos function is often written as cos-1 or acos, and on most calculators is written above the button to press; the colour of the text used to write it usually matches up with the key needed to press before the cos button. On Casio calculators, it is [shift][cos] with the shift key labelled in yellow, and cos-1 written in yellow. On a Texas Instruments calculator it is [2nd] [cos] with the 2nd key labelled in blue and the cos-1 written in blue. On a Hewlett Packard calculator it is [<up_arrow_pointing_left>][cos] with the up_arrow_pointing left a white key with a black arrow and ACOS written in white above the cos button.
Sin Squared x plus cos x equals 0 for x is a part of 1 to 360 degrees?
Replace sin2x with the equivalent (1 - cos2x). Simplify, and use the quadratic equation, to solve for cos x.Replace sin2x with the equivalent (1 - cos2x). Simplify, and use the quadratic equation, to solve for cos x.Replace sin2x with the equivalent (1 - cos2x). Simplify, and use the quadratic equation, to solve for cos x.Replace sin2x with the equivalent (1 - cos2x). Simplify, and use the quadratic equation, to solve for cos x.
What is equivalant function of cos 260 degree?
cos(-100 degrees)
Write a c program to solve cos series?
Please do.
