User:Daggath~enwikiversity/Introduction to calculus

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If you can pass this quiz, you are ready to take this course

1. Express \tan(\theta) \,\ in terms of \sin(\theta) \,\

$$tan = sin / sqrt(1-sin2)$$ 2. If \csc(\theta)=1/x, \,\ then what does x \,\ equal? 3. Prove \tan^2(\theta)+1=\sec^2(\theta) \,\ using \,\ \sin^2(\theta)+ \cos^2 (\theta)=1 4. \cos(A+B)=\cos(A)\cos(B)-\sin(A)\sin(B) \,\ * Find the double angle idenities for the cosine function using the above rule. * Find the half angle idenities from the double angle idenities. * Find the value of \,\ \cos^2(\theta) without exponents using the above rules * (Challenge) Find the value of \,\ \cos^3(\theta) without exponents

A review on all of this course's prerequisites.

1.tan(x)=sin2x / (1 − sin2x) − 1