Inverse Trig (Flashcard 1) degrees

Front

What is the range of the arcsin function?

Back

The range of the arcsin function is [-90°, 90°].

Front

What angles correspond to sin Θ = 1/2?

Back

The angles are 30° and 150°.

Front

What is the value of arcsin(1/2)?

Back

The value of arcsin(1/2) is 30°.

Front

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

Back

The value of arcsin(-1/2) is -30° or 330° in the range of [0°, 360°].

Front

What is the value of sin(150°)?

Back

The value of sin(150°) is 1/2.

Front

What is the value of sin(330°)?

Back

The value of sin(330°) is -1/2.

Front

What is the value of sin(300°)?

Back

The value of sin(300°) is -√3/2.

Front

What is the value of sin(210°)?

Back

The value of sin(210°) is -1/2.

Front

What is the relationship between sin and arcsin?

Back

The arcsin function is the inverse of the sin function, meaning arcsin(sin(Θ)) = Θ for Θ in the range of [-90°, 90°].

Front

What is the unit circle and how does it relate to inverse trigonometric functions?

Back

The unit circle is a circle with a radius of 1 centered at the origin of a coordinate plane. It helps in determining the values of trigonometric functions for various angles.