IXL - Find trigonometric ratios using right triangles (Algebra 2 practice)

Find the cosecant of

∠

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

csc

(

)

ref_doc_title.

Learn with an example

question

Find the tangent of

∠

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

tan

(

)

key idea

The tangent

(

tan

)

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

(

opp

)

divided by the length of the adjacent leg

(

adj

)

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

tan

(

)

opp

adj

solution

Take the formula for the tangent of

∠

and plug in the relevant side lengths.

tan

(

)

Definition of tangent

opp

adj

Definition of tangent

Substitute

opp

and

adj

Substitute

opp

and

adj

Plug in

and

Plug in

and

So,

tan

(

)

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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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