Evaluate (If Possible)the Sine,cosine,and Tangent of the Real Number $t = \frac { 3 \pi } { 2 }$

question 50

Multiple Choice

Evaluate (if possible) the sine,cosine,and tangent of the real number.​ $t = \frac { 3 \pi } { 2 }$ ​

• A) \(t = \frac { 3 \pi } { 2 }\) corresponds to the point \(( x , y ) = ( - 1,0 )\) . \(\begin{array} { l }
• \sin \left( \frac { 3 \pi } { 2 } \right) = 0 \\\\
• \cos \left( \frac { 3 \pi } { 2 } \right) = - 1 \\\\
• \tan \left( \frac { 3 \pi } { 2 } \right) = 0
• \end{array}\)
• B) \(t = \frac { 3 \pi } { 2 }\) corresponds to the point \(( x , y ) = ( 0 , - 1 )\) .​ \[\begin{array} { l }
• \sin \left( \frac { 3 \pi } { 2 } \right) = - 1 \\\\
• \cos \left( \frac { 3 \pi } { 2 } \right) = 0\\\\
• \tan \left( \frac { 3 \pi } { 2 } \right)~ is~ undefined.
• \end{array}\] ​
• C) \[t = \frac { 3 \pi } { 2 }\] corresponds to the point \(( x , y ) = ( 0,0 )\) .​ \[\begin{array} { l }
• \sin \left( \frac { 3 \pi } { 2 } \right) = 0 \\\\
• \cos \left( \frac { 3 \pi } { 2 } \right) = 0 \\\\
• \tan \left( \frac { 3 \pi } { 2 } \right) = 0
• \end{array}\] ​
• D) \(t = \frac { 3 \pi } { 2 }\) corresponds to the point \(( x , y ) = ( - 1,0 )\) .​ \(\begin{array} { l }
• \sin \left( \frac { 3 \pi } { 2 } \right) = - 1 \\\\
• \cos \left( \frac { 3 \pi } { 2 } \right) = 0 \\\\
• \tan \left( \frac { 3 \pi } { 2 } \right) = 0
• \end{array}\) ​
• E)Not possible

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Definitions:

Frequency Source

An electronic component or circuit that generates a signal of a specific frequency, used in various types of electronic equipment.

Capacitive Reactance

The resistance a capacitor offers to AC current, dependent on the frequency of the current and the capacitance value.

Parallel Connection

A way of connecting electrical components so that they share the same voltage across them, but can carry different currents.

Frequency Source

A device or system component that generates a signal of a specific frequency.