Question

Use a calculator to find an angle θ on the interval [0∘,90∘] that satisfies the following equation.tanθ=3.54

Answer 1

θ = 74.23°

Step-by-step explanation:

The inverse function of the tangent is arctangent and it can be written as:

`\arctan (x)=\tan ^(-1)(x)`

So, if tan θ = 3.54, then:

`\theta=\tan ^(-1)(3.54)`

Then, using the calculator, we get:

`\theta=74.23\text{ degrees}`

So, the answer is θ = 74.23°