 # Sum to Product and Product to Sum Formulas Calculator

## Enter special trig expression or identity

### How does the Sum to Product and Product to Sum Formulas Calculator work?

Given two angles in degrees of u and v, this determines the following:
* Sin(u) ± Sin(v)
* Cos(u) ± Cos(v)
* Sin(u)Sin(v)
* Cos(u)Cos(v)
* Sin(u)Cos(v)
* Cos(u)Sin(v)
* Sin(u + v)
* Sin(u - v)
* Cos(u + v)
* Cos(u - v)
* Tan(u + v)
* Tan(u - v)
This calculator has 1 input.

### What 9 formulas are used for the Sum to Product and Product to Sum Formulas Calculator?

1. sin(θ) = Opposite/Hypotenuse
4. csc(θ) = 1/sin(θ)
5. sec(θ) = 1/cos(θ)
6. cot(θ) = 1/tan(θ)

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### What 13 concepts are covered in the Sum to Product and Product to Sum Formulas Calculator?

angle
the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
cos
cos(θ) is the ratio of the adjacent side of angle θ to the hypotenuse
cos
cos(θ) is the ratio of the adjacent side of angle θ to the hypotenuse
cot
The length of the adjacent side divided by the length of the side opposite the angle. Also equals 1/tan(θ)
csc
the length of the hypotenuse divided by the length of the adjacent side. Also equals 1/sin(θ)
formula
a fact or a rule written with mathematical symbols. A concise way of expressing information symbolically.
product
The answer when two or more values are multiplied together
sec
the length of the hypotenuse divided by the length of the adjacent side. Also equals 1/cos(θ)
sin
sin(θ) is the ratio of the opposite side of angle θ to the hypotenuse
sin
sin(θ) is the ratio of the opposite side of angle θ to the hypotenuse
sum
the total amount resulting from the addition of two or more numbers, amounts, or items
sum to product and product to sum formulas
tan
the ratio of the opposite side to the adjacent side of a particular angle of the right triangle.