IXL - Find trigonometric ratios using right triangles (Precalculus practice)

Find the cosine of

∠

Simplify your answer and write it as a proper fraction, improper fraction, or whole number.

cos

(

)

ref_doc_title.

Learn with an example

question

Find the cotangent of

∠

Simplify your answer and write it as a proper fraction, improper fraction, or whole number.

cot

(

)

key idea

The cotangent

(

cot

)

of an acute angle in a right triangle is a ratio. It is the length of the adjacent leg

(

adj

)

divided by the length of the opposite leg

(

opp

)

The adjacent leg is the leg next to the specified angle and the opposite leg is the side across from the specified angle.

cot

(

)

adj

opp

solution

Take the formula for the cotangent of

∠

and plug in the relevant side lengths.

cot

(

)

Definition of cotangent

adj

opp

Definition of cotangent

Substitute

adj

and

opp

Substitute

adj

and

opp

Plug in

and

Plug in

and

So,

cot

(

)

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Not feeling ready yet? These can help:

II.3Trigonometric ratios: sin, cos, and tan

II.4Trigonometric ratios: csc, sec, and cot

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