Thats how you derive the alternate double angle identities, which are meant for a problem like this because they put cos2x in terms of one functionHootenanny said:Don't forget cos2x = 1 - sin2x
You should be able to form a quadratic expression in sin(x), which you can solve using the quadratic formula.
Polar coordinates are a system used to represent points in a two-dimensional space. They consist of a distance from the origin (known as the radius) and an angle measured from a reference direction (usually the positive x-axis).
To graph two polar equations on the same set of axes, you need to plot points for each equation and then connect them with a smooth curve. You can also use a graphing calculator or software to graph both equations simultaneously.
When two polar graphs intersect, it means that there is a point where the two equations have the same radius and angle values. This point is known as the intersection point and it represents a solution to both equations.
Yes, two polar graphs can intersect more than once. In fact, they can intersect at multiple points depending on the complexity of the equations. These intersection points represent multiple solutions to the equations.
To find the coordinates of the intersection point of two polar graphs, you can set the two equations equal to each other and solve for the radius and angle values. These values will give you the coordinates of the intersection point in polar form. You can also convert these coordinates to Cartesian form if needed.