Problem

Find an angle $\theta$ coterminal to $-305^{\circ}$, where $0^{\circ} \leq \theta<360^{\circ}$.

Solution

Step 1 :Given the angle $-305^{\circ}$, we need to find an angle coterminal to it in the range $0^{\circ} \leq \theta<360^{\circ}$.

Step 2 :Since $-305^{\circ}$ is negative, we add $360^{\circ}$ to it.

Step 3 :This gives us $-305^{\circ} + 360^{\circ} = 55^{\circ}$

Step 4 :So, the angle $\theta$ coterminal to $-305^{\circ}$, where $0^{\circ} \leq \theta<360^{\circ}$ is \(\boxed{55^{\circ}}\).

From Solvely APP
Source: https://solvelyapp.com/problems/8714/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download