IXL - Sin, cos, and tan of special angles (Algebra 2 practice)

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

sin

90°

ref_doc_title.

Learn with an example

question

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

tan

60°

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

To calculate

tan

60°

draw a right triangle with a 60° angle. This is a 30°-60°-90° triangle, which is a special right triangle. Its side lengths are 1,

and 2.

60°

Now, calculate

tan

60°

The length of the opposite leg is

and the length of the adjacent leg is 1.

tan

60°

Definition of tangent

opp

adj

Definition of tangent

Plug in

opp

and

adj

Plug in

opp

and

adj

Simplify

So,

tan

60°

Looking for more? Try this:

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	06

SmartScore
out of 100
IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more

Teacher tools

Work it out

Not feeling ready yet? These can help:

II.6Find trigonometric ratios using the unit circle

II.2Special right triangles

HH.6Reference angles

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!