Arccosine

The Arc-cosine function computes the arc-cosine based on a real number between -1 and 1.

INSTRUCTIONS: Enter the following

• (x) This is the value of the cosine

Arc-cosine (θ): The arc-cosine angle is returned in degrees and radians.  However, this can be automatically converted to radians via the pull-down menu.

The Math / Science

Arc-cosine is the inverse function of the cosine function. In other words if cosine(y) = x, then arccosine(x) =y.  In Right Triangles, the cosine of an angle is the ratio of the length of the adjacent side over the hypotenuses. In Vector Arithmetic, the dot product of unit vectors produces the cosine of the angle between the vectors. In both cases, the arc-cosine provides the original angle (θ).

Scientific Calculator Functions

Basic Math Functions:

• x^-1: This is the mathematical inverse or reciprocal of x, which is also 1/x
• x! : This is the factorial of x
• x²: This is the square of x
• x³: This is the cube of x
• x^y: This is x to the y^th power
• 10^x: This is ten to the x^th power.
• `sqrt(x)`: This is the square root of x
• `root(3)(x)`: This is the cube root of x
• `root(y)(x)`: This is the y^th root of x
• Rand: This returns a random number between 0 and 1.
• log(x): This the base 10 log of x
• ln(x) : This provides the natural log of x
• MOD: This provides the integer remainder of x/y.
• GCD: This is the greatest common divisor of two numbers

Math Constants:

• e - this is the base of the natural log
• π - This is the base of Euclidean geometry

Trigonometry Functions:

• sin(θ) : This is the sine function of an angle.
• cos(θ): This is the cosine function of an angle.
• tan(θ): This is the tangent function of an angle.
• sin^-1(x): This is the angle from the inverse of a sine.
• cos^-1(x): This is the angle from the inverse of a cosine.
• tan^-1(x): This is the angle from the inverse of a tangent.

Unit Conversions:

• Length: This converts an input length to compatible units.
• Area: This converts an input area to compatible units.
• Volume: This converts an input volume to compatible units.
• Velocity: This converts an input velocity to compatible units.
• Mass: This converts an input mass or weight to compatible units.
• Temp: This converts and input temperature to compatible units.
• Force: This converts an input force to compatible units.
• Pressure: This converts an input pressure to compatible units.

Other Math / Science Calculators:

• 3D Vector Calculator
• Quaternion Calculator
• Statistics Calculator