Math, asked by 1831314249, 8 months ago

solve the equation sin2x+3cos2x=0

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Answered by Anonymous
6

 \huge \underline\red { \mathfrak{solution}} \\  \\  \implies \bf{ \: sin2x + 3cos2x = 0 }\\  \\  \implies \red { \bf{ sin2x =  - 3cos2x }}\\  \\  \implies \:  \bf{ \frac{sin2x}{cos2x}  =  - 3 }\\  \\ \implies \:  \bf{tan2x =  - 3} \\  \\  \implies \: \bf{ \green{ 2x =  {tan}^{ - 1} ( - 3)} }\\  \\  \implies \:   \bf{ \pink{\boxed{x =  \frac{1}{2}  {tan}^{ - 1} ( - 3)}}}

Answered by rishu6845
2

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