Common household electric current is called alternating current because the current alternates direction within the wires. The voltage V in a typical​ 115-volt outlet can be expressed by the function   Upper V left parenthesis t right parenthesis equals 163 sine omega t ​, where omega   is the angular speed​ (in radians per​ second) of the rotating generator at the electrical plant and t is the time measured in seconds. It is essential for electric generators to rotate at precisely 60 cycles per sec. Complete parts Bold left parenthesis a right parenthesis   and Bold left parenthesis b right parenthesis . Bold left parenthesis a right parenthesis   How many times does the current oscillate in 0.25   ​sec?

Q: Determine what the sign will be for each trig function. a. sin130 b. cot80 C. sec300 d. csc 240

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Q: Determine the period.

A: To determine the period of the function.

Q: Why might it be useful to convert radians to degrees?

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Q: Find csc-1(4.3) (in radians).  (Hint: Use sin-1)

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Q: sin (- ): %3D 4 II

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: mode.) 1. y = arcsin(0.92837781) 2. y = cot-(-0.92170128) 3. y = arcsec(-4.7963825)

A: To calculate the following values

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A: Weekly rainfallWeekRainfall(mm)11.423.134.342.951.260.171.382.794.3103.2111.1120.2131.2142.8

Q: Convert between radians and degrees. Express answers exactly if possible, otherwise to a whole…

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Q: Why are radians used more commonly in math modeling problems rather than degrees?

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Q: Approxamate the value to the nearest thousandth Tan 78°

A: From the given problem:   tan78°   So,   tan78° = 4.704630109

Q: What does the amplitude of a sine or cosine function measure?

A: To describe what does the amplitude of a sine or cosine function measure.

Q: Cos 60

A: See attached file for a step by step explanation to find the trigonometric value.

Q: V3 tan

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Q: to 100 50° y X= y=

A: Since, you have posted more than one question, we answer the first one for you. For the remaining…