Inverse Trig

Front

What is the definition of 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 trigonometric functions are sin^-1, cos^-1, and tan^-1.

Front

What is the range of the function sin^-1(x)?

Back

The range of sin^-1(x) is [-π/2, π/2].

Front

What is the range of the function cos^-1(x)?

Back

The range of cos^-1(x) is [0, π].

Front

What is the range of the function tan^-1(x)?

Back

The range of tan^-1(x) is (-π/2, π/2).

Front

What is the value of sin^-1(0)?

Back

The value of sin^-1(0) is 0.

Front

What is the value of cos^-1(1)?

Back

The value of cos^-1(1) is 0.

Front

What is the value of tan^-1(1)?

Back

The value of tan^-1(1) is π/4.

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Back

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Front

What is the value of sin^-1(1/2)?

Back

The value of sin^-1(1/2) is π/6.