Question

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

Answer 1

Answer:

θ = 74.23°

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°