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Sinx+sinpower2x=1 then cospower8x+2cospower6x +cospower4x is how much

Posted on Feb 02, 2009

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Posted on Jan 02, 2017

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I assume the length of a side is 16 in, and the height of the prism is 23 inches.

**Volume of a prism is V_prism=(Area of base)*(height of prism)**

Area of base is made up of the area of the 6 equilateral triangles with sides =16 inches. The height of such triangles is given by**8*SQRT(3)**.

Use the Pythagorean theorem or the trigonometric ratios to find the height of each of the 6 traingles.

Area of base =6*16*(8*SQRT(3))/2 sq in

**Volume =6*8*8*23*SQRT(3) cubic inches**

Calculate the value in cubic inches and convert to gallons: I leave that task to you.

Area of base is made up of the area of the 6 equilateral triangles with sides =16 inches. The height of such triangles is given by

Use the Pythagorean theorem or the trigonometric ratios to find the height of each of the 6 traingles.

Area of base =6*16*(8*SQRT(3))/2 sq in

Calculate the value in cubic inches and convert to gallons: I leave that task to you.

May 12, 2014 | Office Equipment & Supplies

Most likely you set the angle unit to degree. As long as you do not calculate trigonometric ratios you won't get incorrect results. Switch the angle mode to radian if that is what your calculations require.

Aug 21, 2013 | Casio FX-82MS Scientific Calculator

For your information, the sine is a ratio of two homogeneous quantities (they have the same units), and the result is a pure number.

Be it as it may, if you are calculating trigonometric functions, then you must set the angle unit correctly: according to the problem at hand you choose degrees or radians.

Most scientific calculators use the degree by default.

If you are calculating the arcs (arcsine, arccosine or arctangent) and you want the angle value in degrees, then you must configure the default unit to be degree.

How to do that on your calculator, I cannot say, because I do not know the make and model.

Be it as it may, if you are calculating trigonometric functions, then you must set the angle unit correctly: according to the problem at hand you choose degrees or radians.

Most scientific calculators use the degree by default.

If you are calculating the arcs (arcsine, arccosine or arctangent) and you want the angle value in degrees, then you must configure the default unit to be degree.

How to do that on your calculator, I cannot say, because I do not know the make and model.

Apr 22, 2012 | Office Equipment & Supplies

When you calculate the sine cosine and tangent, the results you get are pure numbers: They have no dimensions or units because sin cos and tan are ratios of lengths.

However if you are calculating inverse trigonometric functions the results are angles, and they have units.

Use the mode key to set the angle unit to degree. after you calculate the inverse trigonometric functions, your results will be expressed in the angle unit you set in the configuration. If angle unit is degree you will get decimal degrees. To convert to DMS, use the key to the right of the change sign key (-). It is marked with degree symbol followed by what looks like a a double quote and a single quote.

However if you are calculating inverse trigonometric functions the results are angles, and they have units.

Use the mode key to set the angle unit to degree. after you calculate the inverse trigonometric functions, your results will be expressed in the angle unit you set in the configuration. If angle unit is degree you will get decimal degrees. To convert to DMS, use the key to the right of the change sign key (-). It is marked with degree symbol followed by what looks like a a double quote and a single quote.

Mar 18, 2012 | Office Equipment & Supplies

All triangles have three sides.

There are two main formulas that do not call on trigonometric ratios.

**The classic one**:

*Heron's Formula *if you have the length of the three sides. Let those measures be **a, b,** and** c**.

There are two main formulas that do not call on trigonometric ratios.

- 1. You need the length of a base and it corresponding height (the length of the segment perpendicular to that base and passing through the vertex (summit) opposite to that base.
**Area=(1/2) * (measure of the base)*(measure of the height).**The base and height must be expressed in the same unit.

- Calculate the semi-perimeter p with
**p=(1/2)(a+b+c)** - Area=Square root of
**(p*(p-a)*(p-b)*(p-c))** **a, b, and c must be expressed in the same unit.**

May 21, 2011 | Casio FX82ES Scientific Calculator

There are no keys for cosecant, secant, and cotangent. You can calculate those ratios as

csc(x) = 1/sin(x)

sec(x) = 1/cos(x)

cot(x) = 1/tan(x)

Simply calculate the trig ratio on the right and then take its reciprocal.

csc(x) = 1/sin(x)

sec(x) = 1/cos(x)

cot(x) = 1/tan(x)

Simply calculate the trig ratio on the right and then take its reciprocal.

Dec 14, 2010 | Texas Instruments TI-83 Plus Calculator

Sorry to say it, bu Mathematics is not Mathemagic: you cannot do things with the shaking of a wand.

There are several ways to find one angle in a right triangle when you have the measures of the sides. You must have the triangle drawn in front of you and then decide if you use the sine, the cosine or the tangent. I cannot presume to know what your triangle looks like.

I suggest you look at the definitions of the trigonometric ratios and find out what is given in your problem.

If you use a ratio to find the cosine, you can then use the arcsine function to find the angle.

If you use one particular ratio to find the sine, you can then use the arcsine to find the angle.

If you know two sides a and b and you know the angle (B) opposite side b, you can use the sine formula (sin(A)/a=sin(B)/b) to determine sin(A) then use the arcsine of the result to get angle A.

Do post a comment to this thread with the case you are trying to solve.

There are several ways to find one angle in a right triangle when you have the measures of the sides. You must have the triangle drawn in front of you and then decide if you use the sine, the cosine or the tangent. I cannot presume to know what your triangle looks like.

I suggest you look at the definitions of the trigonometric ratios and find out what is given in your problem.

If you use a ratio to find the cosine, you can then use the arcsine function to find the angle.

If you use one particular ratio to find the sine, you can then use the arcsine to find the angle.

If you know two sides a and b and you know the angle (B) opposite side b, you can use the sine formula (sin(A)/a=sin(B)/b) to determine sin(A) then use the arcsine of the result to get angle A.

Do post a comment to this thread with the case you are trying to solve.

Nov 12, 2010 | Casio FX-9750GPlus 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

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

Mar 20, 2018 | Computers & Internet

Mar 20, 2018 | Computers & Internet

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