IXL - Trigonometric ratios: csc, sec, and cot (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 secant of

∠

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

sec

(

)

key idea

The secant

(

sec

)

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

(

hyp

)

divided by the length of the adjacent leg

(

adj

)

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

sec

(

)

hyp

adj

solution

Take the formula for the secant of

∠

and plug in the relevant side lengths.

sec

(

)

Definition of secant

hyp

adj

Definition of secant

Substitute

hyp

and

adj

Substitute

hyp

and

adj

Plug in

and

Plug in

and

So,

sec

(

)

Looking for more? Try these:

Lesson: Trigonometric ratios

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Lesson: Trigonometric ratios

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