Introduction to Calculus/Quiz 1

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 * 1) Express $$\tan(\theta) \!$$ in terms of $$\sin(\theta) \!$$
 * 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) $$\cos(A+B)=\cos(A)\cos(B)-\sin(A)\sin(B) \,\ $$
 * 5) * Find the double angle idenities for the cosine function using the above rule.
 * 6) * Find the half angle idenities from the double angle idenities.
 * 7) * Find the value of $$\cos^2(\theta)\!$$ without exponents using the above rules.
 * 8) * (Challenge) Find the value of $$\cos^3(\theta)\!$$ without exponents.