For Which Value Of Theta Is Sine Theta = Negative 1? A Unit Circle Is Shown. A Radius With Length 1 Forms Angle Theta In The First Quadrant.

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For Which Value Of Theta Is Sine Theta = Negative 1? A Unit Circle Is Shown. A Radius With Length 1 Forms Angle Theta In The First Quadrant.. Then the value of the θ will be. A unit circle is shown.

Unit Circle Labeled With Special Angles And Values ClipArt ETC
Unit Circle Labeled With Special Angles And Values ClipArt ETC from etc.usf.edu

Sine and cosine are the fundamental trigonometric functions arising from the previous diagram: Specifically, sin θ = − 1 at the angle of 270 degrees, or in radians, this angle corresponds to 2. However, since the angle is in the first quadrant as per the given information, it's not possible for sine theta to.

Then The Value Of The Θ Will Be.


Sine and cosine are the fundamental trigonometric functions arising from the previous diagram: A radius with length 1 forms angle θ in the first quadrant. The sine function is negative in the third and fourth quadrants.

However, Since The Angle Is In The First Quadrant As Per The Given Information, It's Not Possible For Sine Theta To.


Then the sin θ is equal to the negative one. A unit circle is shown. The sine of theta (sin θ) is the hypotenuse's vertical projection (green line);

Then It Can Be Written As.


Specifically, sin θ = − 1 at the angle of 270 degrees, or in radians, this angle corresponds to 2. To find the value of θ for which sin (θ) = − 1, we need to understand the sine function's behavior on the unit circle. The sine of an angle is negative in the third and fourth quadrants of the unit circle.

The Sine Function Yields The Ratio Of The Opposite Side To.


Next, add this reference angle to. To find the second solution, subtract the solution from 2π 2 π, to find a reference angle.