Find all angles, 0^(@) <= theta < 360^(@), that solve the following equation. sin theta=0 Answer: theta=

Identify Zero Sine Angles: Identify the angles for which the sine function equals zero. The sine function is zero at specific standard angles where the y-coordinate of the point on the unit circle is zero. These angles are 0°, 180°, and 360°.Verify Angle Range: Verify the range of the angles. We need to find all angles between 0° and 360°, including 0° but excluding 360°, that satisfy the equation sin(theta) = 0. Since 360° is the same as 0° on the unit circle, we exclude it from our final answer.List Satisfying Angles: List all the angles that satisfy the condition within the specified range. The angles that satisfy sin(theta) = 0 in the range 0° <= theta < 360° are 0° and 180°.

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Find all angles,
0^(@) <= theta < 360^(@), that solve the following equation.

sin theta=0
Answer:
theta=

Find all angles, 0^{\circ} \leq \theta<360^{\circ} , that solve the following equation. $\newline$ $\sin \theta=0$ $\newline$ Answer: $\theta=$

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Math Problems

Algebra 2

Csc, sec, and cot of special angles

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Q. Find all angles,

0^{\circ} \leq \theta<360^{\circ}

, that solve the following equation.

\newline

\sin \theta=0

\newline

Answer:

\theta=

Identify Zero Sine Angles: Identify the angles for which the sine function equals zero. $\newline$ The sine function is zero at specific standard angles where the y-coordinate of the point on the unit circle is zero. These angles are $0^\circ$ , $180^\circ$ , and $360^\circ$ .
Verify Angle Range: Verify the range of the angles. $\newline$ We need to find all angles between $0^\circ$ and $360^\circ$ , including $0^\circ$ but excluding $360^\circ$ , that satisfy the equation $\sin(\theta) = 0$ . Since $360^\circ$ is the same as $0^\circ$ on the unit circle, we exclude it from our final answer.
List Satisfying Angles: List all the angles that satisfy the condition within the specified range. $\newline$ The angles that satisfy $\sin(\theta) = 0$ in the range 0^\circ \leq \theta < 360^\circ are $0^\circ$ and $180^\circ$ .