Question about SoftMath Algebrator - Algebra Homework Solver (689076614429)

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Sinx=-1 Find all solutions to the problem. This is precalculus-trigonometry.

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X = ... =5pi/2, -1pi/2, 3pi/2, 7pi/2, 11pi/2, 15pi/2, ...

Posted on Apr 19, 2014

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Consider this graph, of sin(x)

http://www.analyzemath.com/trigonometry/graph_sine.gif

You can see that where sin(x) = -1, x = 3/2 Pi (270 degrees). So that is the first of many solutions, which recur every 2 Pi (or 360 degrees) plus or minus from the first solution.

Posted on Apr 19, 2014

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SOURCE: 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.

Posted on Mar 14, 2013

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1 Answer

1 - cos2x - sinx = 0


There are an infinite number of solutions for this. Among them are 0, pi, 2pi, 3pi, and 4pi (see a pattern?).

Jun 12, 2013 | 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.

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Differentiate (sin x)x w.r.t. x.


Nevermind, i assume it's an acronym meaning with respect to x.
so the derivative of (sinx)x is: (cosx)(x) + (sinx)(1)
Simplified: xcosx + sinx

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SinX-cosX=4 how can this be solved?


I gues this problem has no solution because both
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Cscx = 2 and cscx = -2


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(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

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Wat is the solution for sinx-cosx=2 ?


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3 Answers

Sinx+cosx=5, tanx+secx=3 then sinx=?


tanx= sinx/cosx,
secx=1/cosx
1+sinx/cosx=3
1+sinx=3cosx---------->1
cosx=5-sinx------------->2

sub 2 in 1
1+sinx=3(5-sinx)
1+sinx=15-3sinx
1+4sinx=15
4sinx=14
sinx=14/4...
this is the solution..

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