Inverse Trigonometric Problem Solve equation for x

[chapsticks]

Homework Statement

arctan(8x-8)=-1

Homework Equations

I'm sure what this part wants.

The Attempt at a Solution

tan[arctan(8x-8)]=tan(-1)
8x-8=tan(-1)
x=(1/8)(tan(-1)+8)
x=(1/8)(-(tan(1)+8)
x=

I am stuck on the last part since the homework says Simplify the above equation. (Round your answers to three decimal places.) and when I put in -2.186 its wrong.

 

[Curious3141]

Homework Statement

arctan(8x-8)=-1

Homework Equations

I'm sure what this part wants.

The Attempt at a Solution

tan[arctan(8x-8)]=tan(-1)
8x-8=tan(-1)
x=(1/8)(tan(-1)+8)
x=(1/8)(-(tan(1)+8)
x=

I am stuck on the last part since the homework says Simplify the above equation. (Round your answers to three decimal places.) and when I put in -2.186 its wrong.

Your working is right. I initially thought you were putting the calculator in degrees, but that's not it. You must be doing something else wrong to get that wrong value.

Anyway, put your calculator into radians (RAD) mode and work that out again. Pay attention to where all the brackets are, better still work out what 8 - tan(1) is first, then divide by 8.

 

[Dick]

I do not get (1/8)(-tan(1)+8) to be equal to -2.186. How did you get that? What's tan(1)?

 

[chapsticks]

sorry I just realized that it was for a different problem my answer for this was .805

 

[Curious3141]

sorry I just realized that it was for a different problem my answer for this was .805

Right answer.