What is the first step to graphing sine and cosine functions?Group of answer choicesFind the values of 𝑥 for the five key points.Find the values of 𝑦 for the five key points.Connect the five key points with a smooth curve and graph one complete cycle of the given function.Identify the amplitude and the period.

Graph the function.g(x) = 5 cos(x)The x y-coordinate plane is given. A curve has a cycle that repeats horizontally every 2𝜋.One cycle starts on the x-axis at x = −𝜋, goes up and right becoming less steep, changes direction at the point (−𝜋⁄2, 5), goes down and right becoming more steep, crosses the x-axis at x = 0, goes down and right becoming less steep, changes direction at the point (𝜋⁄2, −5), goes up and right becoming more steep, and stops on the x-axis at x = 𝜋.The next cycle starts at x = 𝜋. The x y-coordinate plane is given. A curve has a cycle that repeats horizontally every 2𝜋.One cycle starts on the x-axis at x = −𝜋, goes down and right becoming less steep, changes direction at the point (−𝜋⁄2, −5), goes up and right becoming more steep, crosses the x-axis at x = 0, goes up and right becoming less steep, changes direction at the point (𝜋⁄2, 5), goes down and right becoming more steep, and stops on the x-axis at x = 𝜋.The next cycle starts at x = 𝜋. The x y-coordinate plane is given. A curve has a cycle that repeats horizontally every 2𝜋.One cycle starts at the point (−𝜋, 5), goes down and right becoming more steep, crosses the x-axis at x = −𝜋⁄2, goes down and right becoming less steep, crosses the y-axis at y = −5, goes up and right becoming more steep, crosses the x-axis at x = 𝜋⁄2, goes up and right becoming less steep, and stops at the point (𝜋, 5).The next cycle starts at x = 𝜋. The x y-coordinate plane is given. A curve has a cycle that repeats horizontally every 2𝜋.One cycle starts at the point (−𝜋, −5), goes up and right becoming more steep, crosses the x-axis at x = −𝜋⁄2, goes up and right becoming less steep, crosses the y-axis at y = 5, goes down and right becoming more steep, crosses the x-axis at x = 𝜋⁄2, goes down and right becoming less steep, and stops at the point (𝜋, −5).The next cycle starts at x = 𝜋.State the domain and range. (Enter your answers using interval notation.)domain range

Answer the following questions by including the steps and formulas:(a) Write the equation sine or cosine function with the given properties:(b) For a trigonometric equation , find its stretching factor, period, phase shift, vertical asymptotes, and domain.

Write a cosine function that has a midline of y, equals, 5, commay=5, an amplitude of 2 and a period of start fraction, pi, divided by, 2, end fraction 2π​ .

Watch VideoShow ExamplesWrite a cosine function that has an amplitude of 4, a midline of y, equals, 5y=5 and a period of one quarter 41​ .

Find the amplitude and period of the following trigonometric function. Sketch the graph in your notebook.𝑓(𝑥)=−6sin(5𝑥)+6