IXL - Inverses of trigonometric functions (Geometry practice)

is an acute angle. Find the value of

in degrees.

sin

(

)

ref_doc_title.

Learn with an example

question

is an acute angle. Find the value of

in degrees.

sin

(

)

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 30°-60°-90° special triangle or a 45°-45°-90° special triangle.

You can use the definition of sine and the following reference triangles to calculate the sines of 30°, 45°, and 60°.

Find

sin

30°

60°

sin

30°

opp

hyp

Find

sin

45°

sin

45°

opp

hyp

Find

sin

60°

30°

sin

60°

opp

hyp

Since

sin

(

)

60°

Looking for more? Try these:

Lesson: Trigonometric ratios

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Not feeling ready yet? These can help:

Q.6Find trigonometric functions of special angles

Lesson: Trigonometric ratios

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