IXL - Find angle measures using inverse tangent (Geometry practice)

is an acute angle. Find the value of

in degrees.

tan

(

)

ref_doc_title.

Learn with an example

question

is an acute angle. Find the value of

in degrees.

tan

(

)

key idea

solution

You are looking for an exact answer, so see if

is the tangent

(

tan

)

of an angle from a 30°-60°-90° special triangle or a 45°-45°-90° special triangle.

You can use the definition of tangent and the following reference triangles to calculate the tangents of 30°, 45°, and 60°.

Find

tan

30°

60°

tan

30°

opp

adj

Find

tan

45°

tan

45°

opp

adj

Find

tan

60°

30°

tan

60°

opp

adj

Since

tan

(

)

30°

Looking for more? Try this:

Lesson: Trigonometric ratios

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Work it out

Not feeling ready yet? These can help:

Tangent and cotangent ratios

Lesson: Trigonometric ratios

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