IXL - Inverses of sin, cos, and tan: radians (Algebra 2 practice)

≤

Find the value of

in radians.

cos

(

)

–

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

ref_doc_title.

Learn with an example

question

–

≤

Find the value of

in radians.

sin

(

)

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

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

You are looking for an exact answer, so see if

is the sine

(

sin

)

of an angle from a

special triangle or a

special triangle. These are the same as 30°-60°-90° and 45°-45°-90° special triangles.

You can use the definition of sine and the following reference triangles to calculate the sines of

and

Find

sin

opp

hyp

Find

sin

opp

hyp

Find

sin

opp

hyp

Since

sin

(

)

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.7Sin, cos, and tan of special angles

II.11Inverses of sin, cos, and tan: degrees

HH.1Convert between radians and degrees

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!