Solve the Equation in the Interval $$\left[ 0 ^ { \circ } , 360 ^ { \circ } \right)$$

question 80

Multiple Choice

Solve the equation in the interval $$\left[ 0 ^ { \circ } , 360 ^ { \circ } \right)$$ ) . Give solutions to the nearest tenth, if necessary.
- $\csc \theta = 1 + \cot \theta$

• A) \(\left\{ 90 ^ { \circ } , 270 ^ { \circ } \right\}\)
• B) \(\left\{ 90 ^ { \circ } \right\}\)
• C) \(\left\{ 270 ^ { \circ } \right\}\)
• D) \(\varnothing\)

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Definitions:

90 °

In electrical terms, this often refers to a phase shift of 90 degrees, which is a quarter of a cycle in alternating current (AC) or signal waveforms, representing a right angle in geometric terms.

Right Triangle

A triangle that has one angle measuring 90 degrees, with sides called the hypotenuse, opposite, and adjacent.

Hypotenuse

The longest side of a right-angled triangle, directly opposite the right angle, calculated using the Pythagorean theorem.

Inches

A unit of measurement equal to 1/12th of a foot, used primarily in the United States and United Kingdom.