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Solve the multiple angle equation cos x/2= -

Solve the multiple angle equation cos x/2= - squareroot3/2

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Variables not defined, 3/2 not a valid argument. How did this pop up under my bissell proheat 2 search?

Posted on Nov 06, 2013

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Cos2x + 3 = 5cosx


Use the identity cos(2x)=2(cos(x))^2-1
cos(2x)+3=5cos(x) becomes 2(cos(x))^2-1+3=5cos(x)
Arrange a bit: 2(cos(x))^2-5cos(x)+2=0
Get rid of the 2-factor
(cos(x))^2-(5/2) cos(x)+1=0
This is a quadratic equation for the unknown U=cos(x)
U^2-(5/2)U+1=0
Solve it by factoring or with the quadratic equation formula. The solutions are U=2 or U=1/2.
Since U=cos(x), the root U=cox(x)=2 must be rejected.
What is left is cos(x)=(1/2). The solutions are x=60 or x=-60 plus or minus 360 degrees.

Apr 01, 2014 | SoftMath Algebrator - Algebra Homework...

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Ti-Nspire gives me coordinates in radians when my mode is set to degrees.


That is a round-about way to solve cos(x)=0.543 by graphing. Use the inverse function of the cosine arccos or cos^-1
If cos(x)=0.543 then x=arccos(0.543)
To graph a trigonometric function it is more natural to use the radian as the unit. However in geometry it is more common to use the degree. To solve an equation like x=arccos(0.543) where you want the answer to be degree, change the document settings to make the default angle unit the degree.


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Make the graphing angle unit the degree and set that as default by selecting Make Default and press Enter.

Dec 15, 2013 | Texas Instruments TI-Nspire CX Graphing...

1 Answer

Final Given that Force 1 = 35 pounds and Force 2 = 120 pounds, find the angle between the forces if the magnitude of the resultant force is 140 pounds. Round answer to the nearest degree. (a)62...


You do have many math questions. If you expect us to do your homework for you, you should post under an appropriate category. I started this morning answering this question with time-consuming diagrams but did not finish and did not post the answer. During the day I tried to locate your question but for the longest time could not until I launched an all Google search over the Internet and found it. Why should anybody go through all this grief to help you? Well I just did not want my previous work to go to waste.
I hope it helps somebody.


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OACB is a parallelogram. R is the resultant.
Use the cosine law in the triangle OAC
R^2=(F_1)^2+(F_2)^2 -2(F_1)(F_2) cos (angle OAC)
Replace the variables by their known values and reduce your equation to cos (angle OAC) =-53/112. Solve for angle OAC in degrees
angle OAC =arccos(-53/112). The angle between the two vectors is the supplementary of angle OAC

Dec 05, 2013 | Western Digital My Book Essential Edition...

1 Answer

How to input cos x=0.75?


I assume that if you want to input the equation it is with the intent to solve it. If that be the case then what follows will help you input and solve any equation (linear, quadratic, trig, etc.)

Make sure the calculator angle unit is the same as your problem requires (degree, radian, grad). Here are some screen capture to help you. Change the equation to yours. 21c8779.jpg4b6c1ea.jpg
To enter the equation in screen above, use the right arrow.

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You have to enter an initial guess on line X=, a default value may be supplied by calculator: It depends on last value stored in X. Once a value is entered press the F6 key to SOLV
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Press F1: Rept if you want to solve another equation.

Nov 13, 2010 | Casio FX-9860G Graphic Calculator

2 Answers

How to solve for the trigonometric functions in the casio scientific calculator?


Press the relevant function key [SIN],[COS],[TAN] followed by the angle value.
For inverse trigonometric functions [SIN^-1], COS^-1], or [TAN^-1], Press [SHIFT][SIN], [SHIFT][COS], or [SHIFT][TAN].
For other functions
sec(x)=1/cos(x)
csc(x)=1/sin(x)
cot(x)=1/tan(x)

When calculating trigonometric functions one must make sure that the angle unit the calculator is using is the correct one.

Aug 26, 2010 | Casio FX-115ES Scientific Calculator

1 Answer

@ symbol


According to the TI-89 Guidebook:

This notation indicates an “arbitrary integer” that represents any integer. When an arbitrary integer occurs multiple times in the same session, each occurrence is numbered consecutively. After it reaches 255, arbitrary integer consecutive numbering restarts at @n0.

Hope this helps. If you need any more info just ask away! :)

Jan 21, 2009 | Texas Instruments TI-89 Calculator

2 Answers

Solving multiple non-linear equations


Type it like this: solve( equation1 and equation2 and moreEquations, {list of variables to solve for})

Put all of your equations right after the opening parenthesis separated by the word and, then a comma, then within curly braces each variable you want to solve for each separated by a comma.

Apr 26, 2008 | Texas Instruments TI-89 Calculator

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