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

Sagot :

Answer:

θ = 74.23°

Explanation:

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

[tex]\arctan (x)=\tan ^{-1}(x)[/tex]

So, if tan θ = 3.54, then:

[tex]\theta=\tan ^{-1}(3.54)[/tex]

Then, using the calculator, we get:

[tex]\theta=74.23\text{ degrees}[/tex]

So, the answer is θ = 74.23°

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