Question 10, Exercise 9.1

Solutions of Question 10 of Exercise 9.1 of Unit 09: Trigonometric Functions. This is unit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakistan.

Alternating current cyclically reverses direction. The maximum voltage is about 180 volts when the standard frequency is 56 Hz ( 56 cycles per second). The voltage can be modeled by $ V(t)=a \operatorname{Sin}(k(t-d))+c$
Determine each of the following:
a. Period of $56 \mathrm{~Hz} A C$,
b. The value of $k$,
c. The amplitude of the voltage function,
d. Model the voltage with an appropriate transformed Sine function.

Solution.