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We first want to find the equations of the lines. The general equation of a line is: (y-y₁)=m(x-x₁) where (x₁,y₁) are the coordinates of a point on the line and...

R = 5^0.5

b = 26.57 degrees

To find the reciprocal of any graph, first consider the key points, in this case: (0,1), (90,0), (180,-1), (270,0) and (360,1). Since we are finding the reciprocal in the y-axis, we can find the reciproca...

After short consideration, we see that we must integrate f(x) with respect to x, between 0 and π/2, using integration by parts. Taking the formula for integration by parts, we set u = x and dv/dx = sin(2x...

Take, for example, the bracket (a+5)^2. The longer way to do it would be to write (a+5)^2 as (a+5)(a+5) and multiply out that way. However, there is a shorter way where all you have to do is square the fi...