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Evaluating a problem using integration with sin x and cos x

I am trying to solve a calculus problem using integration with sinx and cos x. Evaluation, from 0 to Pi/4, in equation (4 cos x + sqroot 2 sin x) dx. I get so far but when I try to evaluate, say, 4 sin Pi/4 I cannot arrive at the given answer of 4/sqroot2. What am I doing wrong with my calculator? My answer is 2sqroot2! Thanks for your help and a Happy New Year.

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4/sqroot2 is the same value as 2sqroot2, about 2.828 . It's just a matter of how the calculator and the textbook chooses to represent the value.

Posted on Dec 30, 2012

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Posted on Sep 03, 2013

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SOURCE: I have the Casio Fx-300MS. I'm trying to operate a

Your calculator is set to degrees. To change to radians, press SHIFT MODe and select Rad.

Posted on Jan 30, 2011

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1 Answer

How can I solve Sinx+cosx=7/5?


Square each side

Sin ^2 (x) + cos ^2 (x) +2 sin (x)cos (x) = 49/25

1 + 2sin (x)cos (x) = 1.960

sin (2x) = 0.960

2x = 73.74 deg

x = 36.87 deg

Sep 07, 2014 | Computers & Internet

1 Answer

Use the identity tan(x/2)=sinx/1+cosx to solve for the value of tan45 degrees


tan(x/2)=sin(x)/(1+cos(x))
Setting x/2=45, means that x=90 (degrees)
But cos(90)=0 and sin(90)=1. Thus tan(45)=1/(1+0)=1.

Mar 13, 2013 | SoftMath Algebrator - Algebra Homework...

1 Answer

I try to install software on a ti-89 and the dimension error when I open the program. Faso also commonly when derived from sin (x) the result is not cos (x) more so, 0.017 cos (x)


I do not know the program you installed, so I will skip the part.
As to the derivative of the sine function, your result is correct if the angle unit is degree.
d(sin(x))/dx = cos(x) is true only if the angle unit is the radian. In degrees, you would have a factor Pi/180 which is 0.174532925. I suggest you consult a calculus book to understand where that factor comes from.

Mar 17, 2011 | Texas Instruments TI-89 Calculator

1 Answer

How to calculate a finite integral


Press 2ND MATH to bring up the Math menu. Select "Calculus" and then "integrate." Enter the expression, the variable of integration, the lower limit, and the upper limit, separated by commas. Close the final paren and press ENTER or diamond ENTER.

For example, to calculate the integral from 0 to pi of sin(x) dx, you want

INT(sin(x),x,0,pi)

where INT is the integral sign and pi is the lower-case Greek pi.

Sep 22, 2010 | Texas Instruments TI-89 Calculator

1 Answer

1 + sinx = 2cos^2x


Hii..this can be done as follow

cos^2 x = 1 - sin^2 x--------(1)

2cos^2 x=1+ sin x
2cos^2 x - sin x -1=0
Substituting formula (1)
2(1 - sin^2 x) - sin x - 1 = 0
2sin^2 x + sin x - 1 = 0

Factor this
(2 sin x - 1)(sin x +1) = 0
2 sin x - 1 = 0 or sin x +1 = 0
sin x = 1, and sin x = -1

Apr 26, 2010 | SoftMath Algebrator - Algebra Homework...

1 Answer

Integral of sinx how to calculte in casio fx991 es


Hello,
Configure the calculator to be in MathIO : [SHIFT][MODE][1:MathIO].
Press the Integral key, the one judt beloe the [ALPHA] key.
The template of the integral appears, with the cursor in larger rectangle. Enter the function the screen displays the integral, a small upper sqaure, and a small lower square. The left parenthesis of the function is already supplied by the calculator.
Press [ALPHA] X to enter the argument of the function.
Press the right parenthesis.
Remain the limits.
Use left arrow to move the cursor just before the s of sin and press down arrow to enter a numerical value for the lower limit.
Press the up arrow to move cursor in upper square.
Key in the numerical value of the upper limit.
Press [=].

Warning. To have meaningful result, make sure the angle unit used is conform to the problem you are trying to solve.

Hope it helps.

Nov 01, 2009 | Casio FX-300MS Calculator

1 Answer

If f(x) = sin x, what is the 99th derivative of f(x)?


Hello,
Frankly my dear, who wants to compute the 99th derivative of sin(x)?

d/dx(sin(x))= cos(x)
d^2/dx^2 (sin(x))= d/dx( cos(x))=-sin(x)
d^3/dx^3 (sin(x))= -cos(x)
d^4/dx^4 (sin(x))=d/dx(-cos(x))=sinx.
In 100 successive differentiations you perform the foregoing sequence 100/4=25 times, and you end up with sin(x). Hence in the 99th step the derivative was -cos(x).

Hope it helps.

Oct 20, 2009 | Casio FX-300MS Calculator

1 Answer

(sin-cos)(sin+cos)


(sinX-cosX)(sinX+cosX) =(sin^2 - Cos^2X)
=Sin^2X - (1-Sin^2X)
=Sin^2X -1 + Sin^2X
=2Sin^2X -1

Zulfikar Ali
ali_zulfikar@yahoo.com
9899780221

Jan 26, 2009 | Super Tutor Trigonometry (ESDTRIG) for PC

3 Answers

Trig functions of the TI-30XA


if the sides of a triangle are 15cm ,16cm, and 17 cm ,then the area of the triangle is what ?

May 09, 2008 | Texas Instruments TI-30XA Calculator

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