IXL - Trigonometric ratios: find a side length (Precalculus practice)

Find

30°

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

ref_doc_title.

Learn with an example

question

Find

60°

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

Find

sin

60°

To calculate

sin

60°

first draw the 30°-60°-90° special right triangle.

60°

Calculate

sin

60°

sin

60°

Definition of sine

opp

hyp

Definition of sine

Plug in

opp

and

hyp

Plug in

opp

and

hyp

So,

sin

60°

Find

Use the definition of sine

(

sin

)

to write an equation, then solve for

sin

60°

Given

Substitute

sin

60°

Substitute

sin

60°

Multiply both sides by

Simplify

So,

Looking for more? Try these:

Lesson: Trigonometric ratios

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Work it out

Not feeling ready yet? These can help:

R.5Find trigonometric ratios using right triangles

EE.4Multiply radical expressions

Lesson: Trigonometric ratios

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