Question

watch the video and then solve the problem given below.
click here to watch the video.
rewrite the expression ( csc ( - 270 ^ { circ } ) ) using a coterminal angle ( \theta ) such that ( 0 ^ { circ } leq \theta < 360 ^ { circ } ).
( csc ( - 270 ^ { circ } ) = csc ( square ) ^ { circ } )
(type a whole number. type your answer in degrees. do not include the degree symbol in your answer.)

Explanation:

Step1: Find coterminal angle

Coterminal angles are angles that have the same initial and terminal sides. To find a coterminal angle \(\theta\) of \(- 270^{\circ}\) such that \(0^{\circ}\leq\theta < 360^{\circ}\), we use the formula \(\theta=-270^{\circ}+360^{\circ}n\), where \(n\) is an integer. When \(n = 1\), \(\theta=-270^{\circ}+360^{\circ}=90^{\circ}\). So \(\csc(-270^{\circ})=\csc(90^{\circ})\)

Answer:

\(90\)