How to solve equation involving trigonometric angles

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Posted on Jan 02, 2017

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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.

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

If cos(x)=0.543 then

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

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...

In equation mode, you have system of linear equations (3 unknown) you have polynomial (quadratic and cubic), and solver. Use the solver foe any type of equation (nonlinear, polynomial of order higher than 4, trigonometric, exponential, logs).

May 21, 2012 | Casio Scientific Calculator Fx-570 Fx570...

Grad is a unit of angle. The angle unit affects only the results that involve trigonometric functions and their inverses. It cannot affect the display of results in exponential format (scientific).

Change the angle unit to degree or radian if you want.Disable the scientific or engineering displays by using FIX or Normal (floating).

Change the angle unit to degree or radian if you want.Disable the scientific or engineering displays by using FIX or Normal (floating).

May 06, 2012 | Canon F-710 Calculator

You are not using the right units. The integrals of functions involving angles (trigonometric functions) that you find in tables and other refrerences are valid only for the natural angle unit which is the radian. With any other angle unit (degree, gradian) there is a scale factor to take into account. That is the factor yoy are complaining about.

If it were not the case, the same integral will have two different values depending on the unit you use: and that cannot be.

If you want the calculator to give you the standard integrals in reference tables you must set the default angle unit to be radian.

Let x_deg be an angle in degrees and x_rad the corresponding value in radians.

180 deg=Pi rad

x_deg/180=x_rad/Pi

x_deg =(180 deg/PI)*x_rad

calculating the differentials of bot sides you obtain

dx_deg= (180/Pi) dx_rad

Similarly, with grads

dx_gr=(200/Pi)*dx_rad

If it were not the case, the same integral will have two different values depending on the unit you use: and that cannot be.

If you want the calculator to give you the standard integrals in reference tables you must set the default angle unit to be radian.

Let x_deg be an angle in degrees and x_rad the corresponding value in radians.

180 deg=Pi rad

x_deg/180=x_rad/Pi

x_deg =(180 deg/PI)*x_rad

calculating the differentials of bot sides you obtain

dx_deg= (180/Pi) dx_rad

Similarly, with grads

dx_gr=(200/Pi)*dx_rad

Sep 20, 2011 | Texas Instruments TI-89 Calculator

When you use trigonometric functions you should always make certain that the angle unit the calculator is configured for is the intended one.

When the unit is set to degree sin(37)=0.6018

When the angle unit is set to radian, sin(37 rad)=-0.6435

Change the angle unit to degree.

When the unit is set to degree sin(37)=0.6018

When the angle unit is set to radian, sin(37 rad)=-0.6435

Change the angle unit to degree.

- Press the MODE button
- Scroll to reach the Angle line.
- Use right arrow to highlight deg and press ENTER to validate.

Jun 09, 2011 | Texas Instruments TI-83 Plus Calculator

The trigonometric function [SIN],[COS] and [TAN] have inverse functions arc-sine, arc-cosine, and arc-tangent which are also implemented on scientific calculators. To access the inverse trigonometric functions you use the sequences [SHIFT][SIN], [SHIFT][COS] and [SHIFT][TAN]. The functions are marked on the body of the calculator as [SIN^-1], [COS^-1] and [TAN^-1].

When you use these functions, make sure that the angle unit is correctly set (as required by the problem you are solving) because the angle values returned are in the same unit as the one set.

When you use these functions, make sure that the angle unit is correctly set (as required by the problem you are solving) because the angle values returned are in the same unit as the one set.

Jan 15, 2011 | Casio FX-115ES Scientific Calculator

The results of calculations involving trigonometric functions are dependents on the angle units. So if angles are in degrees the calculator must be configured so.

To set angle unit one presses SHIFT MODE to access SETUP and select the number that corresponds to the unit desired.

To set angle unit one presses SHIFT MODE to access SETUP and select the number that corresponds to the unit desired.

Aug 26, 2010 | Casio fx-300ES 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.

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

The only reason you get unexpected results is that the angle unit your calculator is configured for is not the one you think (degree, radian,grade).

To set angle unit to the one required by the problems you are solving,

To set angle unit to the one required by the problems you are solving,

- turn calculator on
- If you see no icons, press the MENU key
- Use Arrows to focus on RUN and press ENTER.
- In RUN screen press [SHIFT][MENU] to open the (SETUP) screen
- Scroll Down to highlight the [ANGLE] option
- Three Tabs appear at the bottom of the screen
- Press the Function key that is under the angle unit you require.
- Compute your trigonometric functions.

Jun 16, 2010 | Casio Office Equipment & Supplies

Hello,

That habit of TI, Casio, and Sharp to label the inverse trigonometric functions with the -1 superscript can cause confusions.

Hope it helps

That habit of TI, Casio, and Sharp to label the inverse trigonometric functions with the -1 superscript can cause confusions.

- The inverse trigonometric functions arcosine, arcsine, and arctangent (labeled by manufacturers as cos^-1, sin^-1, and tan^-1) should not be confused with the other trigonometric functions known as secant(x) =1/cos(x), cosecant(x)=1/sin(x) and cotangent(x) = 1/tan(x).
- To avoid errors in the use of the inverse trigonometric functions, one must be careful and set the angle unit to the one required by the problem at hand (degrees, or radians)
- To make the trigonometric functions really functions, their range is restricted.
- In this calculator arcosine (x) gives results between 0 and 180 degrees (if angle MODE is Degree) or between 0 and Pi radians (if angle MODE is Radian).
- The range of results for arcsine(x) and arctangent(x) is between -90 degrees and +90 degrees (if angle MODE Degree) or -Pi/2 and Pi/2 (if angle MODE is Radian)

Hope it helps

Nov 06, 2009 | Texas Instruments TI-83 Plus Calculator

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