Problem

Solve $\sin A=\frac{\sqrt{3}}{-2}$ if $0 \leq A \leq \pi$

Solution

Step 1 :The given equation is \(\sin A = \frac{\sqrt{3}}{-2}\) with the range of A being \(0 \leq A \leq \pi\).

Step 2 :The sine function is negative in the third and fourth quadrants. However, the given range for A is from 0 to \(\pi\), which includes the first and second quadrants. In these quadrants, the sine function is non-negative.

Step 3 :Therefore, there is no solution to the equation \(\sin A = \frac{\sqrt{3}}{-2}\) in the given range.

Step 4 :\(\boxed{\text{There is no solution to the equation } \sin A = \frac{\sqrt{3}}{-2} \text{ in the range } 0 \leq A \leq \pi}\)

From Solvely APP
Source: https://solvelyapp.com/problems/7570/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download