IXL - Find trigonometric ratios using reference angles (Algebra 2 practice)

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

sin

60°

ref_doc_title.

Learn with an example

question

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

sec

30°

key idea

The secant

(

sec

)

of an acute angle in a right triangle is a ratio. It is the length of the hypotenuse

(

hyp

)

divided by the length of the adjacent leg

(

adj

)

The hypotenuse is the side across from the right angle and the adjacent leg is the leg next to the specified angle.

sec

(

)

hyp

adj

solution

To calculate

sec

30°

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

1, and 2.

30°

Now, calculate

sec

30°

The length of the hypotenuse is 2 and the length of the adjacent leg is

sec

30°

Definition of secant

hyp

adj

Definition of secant

Plug in

hyp

and

adj

Plug in

hyp

and

adj

Rationalize the denominator

Multiply

So,

sec

30°

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Work it out

Not feeling ready yet? These can help:

II.2Special right triangles

II.6Find trigonometric ratios using the unit circle

HH.6Reference angles

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