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By the sine rule, sin^-1(5/13)=22.6 degrees.Equally, by the cos^-1(12/13)=tan¹(5/12)=22.6 degrees.

In order to do that, and this only works for right angled triangles, is using the sine, cosine, and tangent rules. An easy way to remember this is by using the acronym SOH, CAH, TOA that my teacher taught...

We will figure out the general question first: if we have n consecutive events with two possible outcomes which we will tell "successes" and "failures" with probabilities p and 1-p, re...

Differentiate to get dy/dx=20-2x-6x^2Then stationary points occur when dy/dx = 0 so 0 = 20-2x-6x^2 Factorise to get x= -2, x=5/3Differentiate dy/dx to get second derivative = -2-12x at x=5/3 is -22 so max...

Take the graph y = x² - 2x + 5 for example:
In order to find the intersection with the y axis, set the x values in the equation equal to 0 as this is where the graph would cross the y axi...