Find all angles, 0^(@) <= theta < 360^(@), that solve the following equation. sin theta=1 Answer: theta=

Identify Maximum Sine Angle: Identify the angle where the value of sine is 1. The sine function reaches its maximum value of 1 at an angle where the point on the unit circle is at the highest point above the x-axis. This occurs at theta = 90 degrees or theta = π/2 radians.Check for Additional Angles: Determine if there are any other angles within the given range that also have a sine value of 1. Since the sine function is periodic with a period of 360 degrees or 2π radians, we look for other angles that are coterminal with 90 degrees. However, within the range of 0 to 360 degrees, the sine function only reaches the value of 1 once, at theta = 90 degrees.List Satisfying Angles: List all the angles that satisfy the equation within the given range. The only angle between 0 degrees and 360 degrees where sin(theta) equals 1 is at theta = 90 degrees.

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

sin theta=1
Answer:
theta=

Find all angles, 0^{\circ} \leq \theta<360^{\circ} , that solve the following equation. $\newline$ $\sin \theta=1$ $\newline$ Answer: $\theta=$

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Algebra 2

Find trigonometric ratios using reference angles

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Q. Find all angles,

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

, that solve the following equation.

\newline

\sin \theta=1

\newline

Answer:

\theta=

Identify Maximum Sine Angle: Identify the angle where the value of sine is $1$ . The sine function reaches its maximum value of $1$ at an angle where the point on the unit circle is at the highest point above the x-axis. This occurs at $\theta = 90$ degrees or $\theta = \frac{\pi}{2}$ radians.
Check for Additional Angles: Determine if there are any other angles within the given range that also have a sine value of $1$ . Since the sine function is periodic with a period of $360$ degrees or $2\pi$ radians, we look for other angles that are coterminal with $90$ degrees. However, within the range of $0$ to $360$ degrees, the sine function only reaches the value of $1$ once, at $\theta = 90$ degrees.
List Satisfying Angles: List all the angles that satisfy the equation within the given range. $\newline$ The only angle between $0$ degrees and $360$ degrees where $\sin(\theta) = 1$ is at $\theta = 90$ degrees.