IXL - Trigonometric ratios: sin, cos, and tan (Algebra 2 practice)

Find the tangent of

∠

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

tan

(

)

ref_doc_title.

Learn with an example

question

Find the sine of

∠

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

sin

(

)

key idea

The sine

(

sin

)

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 hypotenuse

(

hyp

)

The opposite leg is the side across from the specified angle and the hypotenuse is the side across from the right angle.

sin

(

)

opp

hyp

solution

Take the formula for the sine of

∠

and plug in the relevant side lengths.

sin

(

)

Definition of sine

opp

hyp

Definition of sine

Substitute

opp

and

hyp

Substitute

opp

and

hyp

Plug in

and

Plug in

and

So,

sin

(

)

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II.1Pythagorean Theorem and its converse

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