chapsticks said: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.
chapsticks said:sorry I just realized that it was for a different problem my answer for this was .805
An inverse trigonometric function is the opposite of a regular trigonometric function. It takes the output of a trigonometric function and returns the angle that would produce that output. In other words, it "undoes" the trigonometric function.
To solve an inverse trigonometric problem for x, you first need to identify which inverse trigonometric function is being used (such as sin^-1, cos^-1, or tan^-1). Then, you can use algebraic manipulation and inverse trigonometric identities to isolate x and solve for it.
Yes, there are some restrictions to keep in mind when solving an inverse trigonometric problem for x. These include the domain of the original trigonometric function (which may need to be restricted to make the inverse function one-to-one), and any limitations on the range of the inverse function (such as arcsin only outputting angles between -π/2 and π/2).
Yes, most scientific calculators have inverse trigonometric functions built in. However, it is important to make sure the calculator is set to the correct mode (degrees or radians) and to understand how to interpret the output (degrees or radians).
Solving inverse trigonometric problems for x allows us to find the angle measure that corresponds to a specific output of a trigonometric function. This is useful in many real-world applications, such as finding the angle of elevation or depression in navigation and engineering problems.