 
                            6sin(x) + 3
@trigfunctions1
trigonometric functions : In mathematics, trigonometric functions are functions which relate an angle of a right-angled triangle to ratios of two side lengths.
how to use a unit circle// identify the quadrant by using the unit circle and solve.
to solve a right triangle determine what ratio you want to use then create an equation and sovle.
all six standard trigonometric functions – sine, cosine, tangent, cotangent, secant, and cosecant, as well as archaic functions like versine and exsecant – can be defined geometrically in terms of a unit circle, as shown at right.
 
                                            finally a vertical shift is how far the function shifted vertically from the usual position.
The period is the lenght of one peak to another of a period function. The amplitude is the height from the center line of the peak of a periodic function. Phase shift is how far the function is shifted horizontally from the usual position.
Steps for graphing a trig function: Identify the amplitude, period, phase shift and vertical shift. For this problem - amplitude: 6 period: 1/2pi phase shift: 0 vertical shift: 3
This is what the graph of funcrion 6sin)x) + 3 would look like.
 
                                            The reciprocal of sine function is cosecant, csc(theta)=1/sin(theta).
These are the following steps to solve a trigonometric function: 1.Put the equation in terms of one function of one angle. 2.Write the equation as one trig function of an angle equals a constant. 3.Write down the possible value(s) for the angle.
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