Blog Post 1

1. Show and explain how to derive the two remaining Pythagorean identities from sin^2(x)+cos^2(x)=1. Make sure to include in the beginning where sin^2(x)+cos^2(x)=1 comes from to begin with (think Unit Circle!).

The reason is that sin^2 + cos^2 = 1 is written differently from cotangent and tangent. So dividing the first equation by sine^2 or cos^2, they will then cancel out. This will then leave you with an answer related to your ratio identities and your reciprocal ratios which as you know will be: 1/cos^2(x) is the same as sec^2(x), 1/sin^2(x) is the same as csc^2(x).