Introduction to Calculus/Quiz 1

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It would be better if you solve the quiz in your usename space, e.g. User:Your Username/Introduction to Calculus. After solving the quiz post the link to this quiz's talk page.

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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