Trigonometry: Solve equation for αI have the following trigonometric equation: 2 sin ⁡ ( α − 45 ) sin ⁡ ( 2 α ) = sin ⁡ ( α + 45 ) sin ⁡ ( α )Is it possible to find α?Please also include each step in your solution.EDIT: Sorry if I haven't mentioned- yes, it is a solution I reached to as a part of an assignment I was given (school). All I wish to know if I can pull α from what I found.Thanks in advance.

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Trigonometry: Solve equation for   αI have the following trigonometric equation:  2  sin  ⁡  (  α  −  45  )  sin  ⁡  (  2  α  )  =  sin  ⁡  (  α  +  45  )  sin  ⁡  (  α  )Is it possible to find   α?Please also include each step in your solution.EDIT: Sorry if I haven&#039;t mentioned- yes, it is a solution I reached to as a part of an assignment I was given (school). All I wish to know if I can pull   α from what I found.Thanks in advance.

partatjar6t9 · Accepted Answer

The formulas you need to use:  sin  ⁡  (  x  −  y  )  =  sin  ⁡  x  cos  ⁡  y  −  cos  ⁡  x  sin  ⁡  y  sin  ⁡  2  x  =  2  sin  ⁡  x  cos  ⁡  x  sin  ⁡  (  x  +  y  )  =  sin  ⁡  x  cos  ⁡  y  +  cos  ⁡  x  sin  ⁡  y  2  sin  ⁡  (  α  −  45  )  sin  ⁡  (  2  α  )  =  sin  ⁡  (  α  +  45  )  sin  ⁡  (  α  )  (  2  (  sin  ⁡  α  cos  ⁡  45  −  cos  ⁡  α  sin  ⁡  45  )  )  (  2  sin  ⁡  α  cos  ⁡  α  )  =  (  sin  ⁡  α  cos  ⁡  45  +  cos  ⁡  α  sin  ⁡  45  )  sin  ⁡  αHere you can cancel out   sin  ⁡  α from both sides of the equation but you&#039;ll need to point out we assumed   sin  ⁡  α  ≠  0  4  sin  ⁡  α  cos  ⁡  α  (  sin  ⁡  α  −  cos  ⁡  45  )  )  =  (  sin  ⁡  α  cos  ⁡  45  +  cos  ⁡  α  sin  ⁡  45  )  sin  ⁡  α  4  (  sin  ⁡  α  −  cos  ⁡  α  )  (  cos  ⁡  α  )  =  (  sin  ⁡  α  +  cos  ⁡  α  )  2  cos  ⁡  2  α  −  2  sin  ⁡  2  α  +  cos  ⁡  α  +  cos  ⁡  α  +  2  =  0

Trigonometry: Solve equation for I have the following trigonometric equation: 2 sin( alpha - 45) sin(2 alpha) = sin( alpha + 45) sin( alpha) Is it possible to find alpha

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