trigonometry equation sin ⁡ 2 x + sin ⁡ ( 180 ° − 8 x ) = 2 cos ⁡ 3 x

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trigonometry equation   sin  ⁡  2  x  +  sin  ⁡  (  180      °    −  8  x  )  =      2    cos  ⁡  3  x

Buckokasg · Accepted Answer

Over here,  2  sin  ⁡  5  x  cos  ⁡  3  x  =      2    cos  ⁡  3  x  cos  ⁡  3  x should not have been cancelled away from both ends, as doing so eliminates certain solutions. Instead, you should shift them to the same side and do some factorization:  2  sin  ⁡  5  x  cos  ⁡  3  x  −      2    cos  ⁡  3  x  =  0  cos  ⁡  3  x  (  2  sin  ⁡  5  x  −      2    )  =  0.From this you get an additional set of answers from   cos  ⁡  3  x  =  0, namely  3  x  =      90    ∘    +      180    ∘    k  x  =      30    ∘    +      60    ∘    k  .

trigonometry equation sin ⁡ 2 x + sin ⁡ (

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