Question

What is this
I have no idea what this is

Answer 1

• m = 2D
• n = ab

Explanation:

You want the formula for angle C in triangle ABC with area D.

Area formula

The relevant formula for the area of the triangle is ...

Area = 1/2ab·sin(C)

When the area is D, this is ...

D = 1/2ab·sin(C)

Rearrange

You are being asked to rearrange the formula to give an expression for C.

2D/(ab) = sin(C) . . . . divide by the coefficient of sin(C)

`C=\sin^(-1)\left((2D)/(ab)\right)=\sin^(-1)\left((m)/(n)\right)`

Comparing parts of the expressions, we see that ...

• m = 2D
• n = a·b