IXL - Trigonometric ratios with radicals: sin, cos, and tan (Geometry practice)

Find the sine of

∠

Write your answer in simplified, rationalized form. Do not round.

sin

(

)

ref_doc_title.

Learn with an example

question

Find the tangent of

∠

Write your answer in simplified, rationalized form. Do not round.

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

Rationalize the denominator

Multiply

826

Multiply

So,

tan

(

)

826

Looking for more? Try these:

Lesson: Trigonometric ratios

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Q.1Trigonometric ratios: sin, cos, and tan

EE.8Simplify radical expressions: mixed review

Lesson: Trigonometric ratios

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