How would I solve this trigonometric equation? 3 cos ⁡ x cot ⁡ x + sin ⁡ 2 x = 0I got to this stage: 3 cos ⁡ x = − 2 sin 2 ⁡ xIs is a dead end or is there a easier way solve this equation?

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How would I solve this trigonometric equation?   3  cos  ⁡  x  cot  ⁡  x  +  sin  ⁡  2  x  =  0I got to this stage:  3  cos  ⁡  x  =  −  2      sin    2    ⁡  xIs is a dead end or is there a easier way solve this equation?

humusen6p · Accepted Answer

You might have missed   cos  ⁡  x  =  0  3  cos  ⁡  x  cot  ⁡  x  +  sin  ⁡  2  x  =  0  3  cos  ⁡  x  ⋅            cos      ⁡      x              sin      ⁡      x        +  2  sin  ⁡  x  cos  ⁡  x  =  0  3      cos    2    ⁡  x  +  2      sin    2    ⁡  x  cos  ⁡  x  =  0  cos  ⁡  x  (  3  cos  ⁡  x  +  2      sin    2    ⁡  x  )  =  0  cos  ⁡  x  (  3  cos  ⁡  x  +  2  −  2      cos    2    ⁡  x  )  =  0

Petrovcic2x · Accepted Answer

Hint: Use       sin    2    ⁡  x  =  1  −      cos    2    ⁡  x then  −  2      cos    2    ⁡  x  +  3  cos  ⁡  x  +  2  =  0take   y  =  cos  ⁡  x

How would I solve this trigonometric equation? 3 cos ⁡ x cot ⁡<

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