Principle of Mathematical Induction

Principle of Mathematical Induction

Question

“Express in radians the angle 50° 37’ 30” .

Answer
30 to the power of apostrophe apostrophe end exponent space equals space open parentheses 30 over 60 close parentheses to the power of apostrophe space equals space open parentheses 1 half close parentheses to the power of apostrophe
37 apostrophe 30 apostrophe apostrophe space equals space open parentheses 37 plus 1 half close parentheses to the power of apostrophe space equals space open parentheses 75 over 2 close parentheses to the power of apostrophe space equals space open parentheses fraction numerator 75 over denominator 2 cross times 60 end fraction close parentheses to the power of ring operator space equals space open parentheses 5 over 8 close parentheses to the power of ring operator
50 to the power of ring operator 37 apostrophe 30 apostrophe apostrophe space equals space open parentheses 50 plus 5 over 8 close parentheses to the power of ring operator space equals space open parentheses 405 over 8 close parentheses to the power of ring operator
       open parentheses 405 over 8 close parentheses to the power of ring operator space equals space straight pi over 180 cross times 405 over 8 space space radians space equals space fraction numerator 9 straight pi over denominator 32 end fraction space radians

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