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Principle Of Mathematical Induction

Question
CBSEENMA11013482
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Find the general solution of the following equation:

sin space 2 straight x space equals space cos space straight x space.

Solution

                sin space 2 straight x space equals space cos space straight x
         space space space space sin space 2 straight x space plus space cos space straight x space equals space 0
rightwards double arrow   2 space sin space straight x space cos space straight x space plus space cos space straight x space equals space 0
rightwards double arrow         cos space straight x space left parenthesis 2 space sin space straight x space plus space 1 right parenthesis space equals space 0
rightwards double arrow      either                      cos space straight x space equals space 0  or sin space straight x space equals space minus 1 half
rightwards double arrow      either                  straight x space equals space left parenthesis 2 straight n plus 1 right parenthesis space straight pi over 2 comma space straight n space element of space straight Z    or  WiredFaculty
rightwards double arrow      either                WiredFaculty    or  space space space straight x space equals space nπ space plus space left parenthesis negative 1 right parenthesis to the power of straight n space open parentheses negative straight pi over 6 close parentheses comma space space straight n space element of space straight Z
rightwards double arrow                              WiredFaculty               or    space space space straight x space equals space nπ space plus space left parenthesis negative 1 right parenthesis to the power of straight n space open parentheses negative straight pi over 6 close parentheses comma space space straight n space element of space straight Z

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Find 1 radian angle in degrees, minutes, seconds.

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