Question

✓3sinthita-costhita=0 find the value of thita​

Answer 1

Answer:

$given \: equation \\ \\ \sqrt{3} \sin(x) - \cos(x) = 0 \\ \\ devide \: by \: 2 \: in \: both \: sides \\ \\ \frac{ \sqrt{3} }{2} \sin(x) - \frac{1}{2} \cos(x) = 0 \\ \\ \cos(30) \sin(x) - \sin(30) \cos(x) = \\ \\ \sin(x - 30) = 0 \\ \\ x - 30 = n\pi \\ \\ x = n\pi + 30 \\ or \\ x = n\pi + \frac{\pi}{6} =\pi(n + \frac{1}{6} )$

$we \: know \: that \: general \: eq \: of \: \\ sinx = 0 \\ x = n\pi$

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