IXL - Inverses of trigonometric functions using a calculator (Precalculus practice)

is an acute angle. Find the value of

in degrees.

tan

(

)

37.3

Write your answer as an integer or as a decimal rounded to the nearest hundredth.

ref_doc_title.

Learn with an example

question

is an acute angle. Find the value of

in degrees.

sin

(

)

0.6

Write your answer as an integer or as a decimal rounded to the nearest hundredth.

key idea

The inverse sine function

(

sin

-1

)

satisfies the following equation if

–

90°

≤

90°

sin

-1

[

sin

(

)

]

solution

Use a calculator's inverse sine function

(

sin

-1

)

to find

Make sure the calculator is in degrees mode.

sin

(

)

Given

0.6

Given

sin

-1

[

sin

(

)

]

Take the inverse sine

(

sin

-1

)

of both sides

sin

-1

0.6

Take the inverse sine

(

sin

-1

)

of both sides

Simplify

sin

-1

[

sin

(

)

]

sin

-1

0.6

Simplify

sin

-1

[

sin

(

)

]

Find

sin

-1

0.6

36.869897…°

Find

sin

-1

0.6

≈

Round to the nearest hundredth

36.87°

Round to the nearest hundredth

So,

≈

36.87°

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R.9Inverses of trigonometric functions

II.10Find trigonometric functions using a calculator

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