Inverse Trig Functions

Front

Define Inverse Trigonometric Functions.

Back

Inverse trigonometric functions are functions that reverse the action of the standard trigonometric functions. They take a ratio and return an angle. The main inverse trig functions are arcsin, arccos, and arctan.

Tags

CCSS.HSF.TF.B.7

Front

What is the range of the arcsin function?

Back

The range of the arcsin function is [-π/2, π/2].

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CCSS.HSF-BF.B.4D

Front

What is the range of the arccos function?

Back

The range of the arccos function is [0, π].

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CCSS.HSF-BF.B.4D

Front

What is the range of the arctan function?

Back

The range of the arctan function is (-π/2, π/2).

Tags

CCSS.HSF-BF.B.4D

Front

Evaluate: arcsin(0).

Back

0.

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CCSS.HSF.TF.B.7

Front

Evaluate: arccos(1).

Back

0.

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CCSS.HSF.TF.B.7

Front

Evaluate: arctan(1).

Back

π/4.

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CCSS.HSF.TF.B.7

Front

Evaluate: arcsin(1).

Back

π/2.

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CCSS.HSF.TF.B.7

Front

Evaluate: cos^-1(-1/2).

Back

2π/3.

Tags

CCSS.HSF.TF.B.7

Front

Evaluate: sin^-1(-√3/2).

Back

-π/3.

Tags

CCSS.HSF.TF.B.7