Solving an equation with sin ⁡ ( x ) in the exponent: 2 sin ⁡ ( x ) ⋅ cos ⁡ ( x ) + 1 = 1

Question

Solving an equation with   sin  ⁡  (  x  ) in the exponent:       2          sin      ⁡      (      x      )        ⋅  cos  ⁡  (  x  )  +  1  =  1

odvucimo1pp17 · Accepted Answer

2          sin      ⁡      x        cos  ⁡  x  +  1  =  1    ⟹        2          sin      ⁡      x        cos  ⁡  x  =  0    ⟹        2          sin      ⁡      x        =  0   or   cos  ⁡  x  =  0Can you deduce the solution from here?

Jaime Coleman · Accepted Answer

2          sin      ⁡      (      x      )        cos  ⁡  (  x  )  +  1  =  1 gives       2          sin      ⁡      (      x      )        cos  ⁡  (  x  )  =  0, so that implies   x  =      π    2    +  k  π is the only solution, where   k is an integer.

Solving an equation with sin ⁡ ( x ) in the exponent: 2

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