Principle of Mathematical Induction

  • Question 1
    CBSEENMA11013206

    Convert negative 60 degree to radians

    Solution

    Degrees to radians: multiply by straight pi over 180
    ∴          negative 60 degree space equals space open parentheses negative 60 space cross times space straight pi over 180 close parentheses space radians space equals space minus straight pi over 3 space space radians

    Question 2
    CBSEENMA11013208

    Convert straight pi over 12 to degrees.

    Solution

    Radians to degrees: multiply by space space 180 over straight pi
    ∴          straight pi over 12 space radians space equals space open parentheses straight pi over 12 cross times 180 over straight pi close parentheses to the power of degree space equals space 15 degree

    Question 3
    CBSEENMA11013211

    Find 1 radian angle in degrees, minutes, seconds.

    Solution
    Question 4
    CBSEENMA11013213

    Find the radian measures corresponding to the following degree measure:

    space 25 degree

    Solution

    Degrees to radians:  Multiply by straight pi over 180
    25 degree space equals space open parentheses 25 space cross times space straight pi over 180 close parentheses to the power of straight c space equals space open parentheses fraction numerator 5 straight pi over denominator 36 end fraction close parentheses to the power of straight c

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