Problem

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

Answer

Expert–verified
Hide Steps
Answer

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

Steps

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 \(\boxed{55^{\circ}}\).

link_gpt

Popular Problems

Compute $\int_{0}^{\ln (2) / … Solve the triangle. \[ \mathr… QUESTION 2 - 1 POINT Solve th… 5. Suppose you are a computer… Answer the statistical measur… $(-\infty, 2) \cap(-6, \infty… A firm does not pay a dividen… Math 112 Section: 4. Tubercul… Find $y^{\prime}$ if $y=\ln \… 3. (3pts) Cherry trees in a c… More