Understanding Arc Sine, Arc Cosine, and Arc Tangent

🔄The arc sine, arc cosine, and arc tangent functions are the inverse operations of the sine, cosine, and tangent functions.

📏Arc sine, arc cosine, and arc tangent provide a way to find the angles in a triangle or equation.

🔢The input of the arc sine and arc cosine functions should be between -1 and 1, while the input of the arc tangent function can be any real number.

🔀The range of the arc sine function is between -π/2 and π/2 radians, equivalent to -90° and 90°.

🔄The range of the arc cosine function is between 0 and π radians, equivalent to 0° and 180°.

What are arc sine, arc cosine, and arc tangent used for?

—Arc sine, arc cosine, and arc tangent are used to find the angles in a triangle or equation, especially in trigonometry, calculus, physics, and engineering.

What is the input range for the arc sine and arc cosine functions?

—The input of the arc sine and arc cosine functions should be between -1 and 1.

What is the input range for the arc tangent function?

—The input of the arc tangent function can be any real number.

What is the range of the arc sine function?

—The range of the arc sine function is between -π/2 and π/2 radians, equivalent to -90° and 90°.

What is the range of the arc cosine function?

—The range of the arc cosine function is between 0 and π radians, equivalent to 0° and 180°.

00:01The lesson is about arc sine, arc cosine, and arc tangent, which are the inverse operations of sine, cosine, and tangent.

00:26Arc sine, arc cosine, and arc tangent functions help us find angles in triangles or equations.

02:56Arc sine is limited to an input range between -1 and 1, with a range of -π/2 to π/2.

04:16Arc cosine is limited to an input range between -1 and 1, with a range of 0 to π.