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 determine the values for the graph of the equation r = 4sin(9θ), you need to understand the trigonometric functions and how they relate to angles.
In this equation, r = 4sin(9θ), 'r' represents the radial distance from the origin to a point on the graph, and 'θ' represents the angle (in radians) measured from the positive x-axis to that point.
Now, let's break down the expression 4sin(9θ):
1. First, you have the number 9 multiplied by θ. This means that the angle 'θ' is being multiplied by 9.
2. Next, the result of 9θ is plugged into the sine function. This means that you are taking the sine of the angle 9θ.
3. Lastly, the result of sin(9θ) is multiplied by 4. This scales the value of sin(9θ) by a factor of 4.
Therefore, to evaluate the equation r = 4sin(9θ) for specific values, follow these steps:
Step 1: Choose a value for θ.
Step 2: Compute 9θ by multiplying the chosen value of θ by 9.
Step 3: Calculate the sine of 9θ by taking the sine of the result obtained in step 2.
Step 4: Multiply the value obtained in step 3 by 4.
Step 5: The resulting value represents the radial distance 'r' from the origin to a point on the graph corresponding to the angle θ.
Remember that angles in the equation should be in radians if you are using the standard unit of angular measurement in mathematics.