Y Sin X Cos X. You should just use the summation formula for sines \sin (x + y) = \sin (x)\cos (y) + \cos (x)\sin (y) This is how it works \eqalign { \sin (x) + \cos (x) &= \sqrt 2 \left ( { {1 \over {\sqrt 2 }}\cos (x) + {1 \over {\sqrt 2 }}\sin (x)} \right) \cr &= \sqrt 2 \left ( {\sin ( {\pi \over 4})\cos (x) + \cos ( {\pi \over 4})\sin (x)} \right) \cr &= \sqrt 2 \sin (x + {\pi \over 4}) \cr}.
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The line \ (y = 075\) crosses the graph of \ (y = \cos {x}\) four times in the interval \ (360^\circ \leq x \leq 360^\circ\) so there are four solutions There is a line of symmetry at \ (x = 0.
