r=4sin9(thetha)
How would I find values for this graph do I do 4*Sin 9 *a degree or 4 *sin (9* a degree) I don't understand
To properly understand the expression "r = 4sin9(theta)", it's important to clarify a few things.
Firstly, in trigonometry, "r" represents the radius or length of the vector from the origin (0,0) to a point on the graph. The value of "r" can be positive or negative depending on the quadrant.
Secondly, "theta" (θ) represents the angle measured in degrees or radians, depending on the context. It determines the position of the point on the graph.
Now, let's break down the expression:
r = 4sin(9θ)
- The 4 outside the sine function represents the magnitude or length of the radius vector. In this case, it is a constant value of 4.
- The sine function (sin) takes an angle (in this case, 9θ) as its argument and returns the y-coordinate of the point on the graph.
Regarding your confusion about whether to calculate "4sin9 *a degree" or "4sin(9 *a degree)", you need to clarify if the angle θ is given in degrees or radians.
- If the angle θ is given in degrees, then the correct way to write and calculate it would be: r = 4sin(9θ degrees), where you multiply 9 by θ degrees, then take the sine of that value, and finally multiply it by 4.
- If the angle θ is given in radians, then the correct way to write and calculate it would be: r = 4sin(9θ radians), where you multiply 9 by θ radians, then take the sine of that value, and finally multiply it by 4.
It's important to note that when dealing with trigonometric functions, the angle should typically be in radians. However, certain scenarios may require working with degrees instead.
In summary, clarify whether θ is given in degrees or radians and use the appropriate units accordingly when calculating the expression.