Solve 5x tan (8x ) =3x trig function, Mathematics

Assignment Help:

Solve 5x tan (8x ) =3x .

Solution : Firstly, before we even begin solving we have to make one thing clear.  DO NOT CANCEL AN x FROM BOTH SIDES!!! Whereas this may appear like a natural thing to do it WILL cause us to lose solution here.

Hence, to solve this equation first we'll get all the terms on one side of the equation & then factor out an x of the equation.  If we can cancel out an x from all terms then it can be factored out.  Doing this gives,

                                     5x tan (8x ) - 3x = x (5 tan(8x ) - 3) = 0

Upon factoring we can illustrates that we ought to have either,

                                   x= 0      OR      tan (8x ) = 3/5

Note as well that if we'd canceled out the x we would have missed the first solution.  Now, we solved out an equation along with a tangent in it in previous section hence we'll not go into the details of this solution here.  Following is the solution to the trig equation.

x= 0.0676 + ? n/4                                                 n= 0, ±1, ±2,..........

x= 0.4603 + ? n/4

The complete set of solutions then to the original equation is following,

x= 0

x= 0.0676 + ? n/4

x= 0.4603 + ? n/4

n= 0, ±1, ±2,..........


Related Discussions:- Solve 5x tan (8x ) =3x trig function

Magnitude, find the magnitude of the following vectors:5i+7j

find the magnitude of the following vectors:5i+7j

G .E matrix, using the g.e matrix, how can you turn an unattractive product...

using the g.e matrix, how can you turn an unattractive product to be attractive

Develop a linear program, The production manager of Koulder Refrigerators m...

The production manager of Koulder Refrigerators must decide how many refrigerators to produce in each of the next four months to meet demand at the lowest overall cost. There is a

Pair of straight lines, the adjacent sides of a parallelogram are 2x2-5xy+3...

the adjacent sides of a parallelogram are 2x2-5xy+3y2=0 and one diagonal is x+y+2=0 find the vertices and the other diagonal

Number theory, formula for non negative solutions integral

formula for non negative solutions integral

Substitution rule for definite integrals, Substitution Rule for Definite In...

Substitution Rule for Definite Integrals Now we need to go back and revisit the substitution rule as it also applies to definite integrals.  At some level there actually isn't

speed of the truck , A man travels 600km partly by train and partly by tru...

A man travels 600km partly by train and partly by truck. If he  covers 120km by train and the rest by truck, it takes him eight hours. But, if he travels 200km by train and the res

Arc length with polar coordinates, Arc Length with Polar Coordinates H...

Arc Length with Polar Coordinates Here we need to move into the applications of integrals and how we do them in terms of polar coordinates.  In this part we will look at the a

Find out the product of 5.2 × 10^3 and 6.5 × 10^7, Find out the product of ...

Find out the product of 5.2 × 10 3 and 6.5 × 10 7 . Write your answer in scientific notation. To multiply numbers written within scienti?c notation,  multiply the ?rst numbers

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd