Introduction to Calculus/Quiz 1

< 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) \!
  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.
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