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Principle of Mathematical Induction

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Question
CBSEENMA11013206
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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

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Question
CBSEENMA11013208
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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
CBSEENMA11013211
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Find 1 radian angle in degrees, minutes, seconds.

Solution

Question
CBSEENMA11013213
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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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