Math, asked by rahul85656, 8 months ago

find the value of theta for the equation 2sin 2theta=
 \sqrt{3}

Answers

Answered by Anonymous
8

{\huge{\red{\sf{Given}}}}\begin{cases}\leadsto\bf{2\sin 2\theta = \sqrt{3}} \end{cases}

{\huge{\red{\sf{To\:Find}}}}\begin{cases}\leadsto \bf{The\:value\:of\:\theta}\end{cases}

\huge\red{\underline{\bf{\green{Answer:}}}}

{\underline{\pink{\sf{\hookrightarrow Taking\:the\: given\: equation:}}}}

\sf{\implies 2\sin 2\theta =\sqrt{3}}

\sf{\implies \sin 2\theta=\dfrac{\sqrt{3}}{2}}

\sf{\implies \sin 2\theta=\sin 60^{\circ}}

\purple{\sf{Comparing\: both \:sides ,}}

\sf{\implies 2\theta = 60^{\circ}}

\sf{\implies \theta =\dfrac{60^{\circ}}{2}}

{\underline{\boxed{\red{\bf{\longmapsto \theta =30^{\circ}}}}}}

{\underline{\underline{\orange{\sf{\leadsto Hence \:the\:value\:of\:\theta\:is\:30^{\circ}}}}}}

\rule{200}5

Some more values of sine:

  • sin0° = 0.
  • sin 30° = ½.
  • sin 45° = 1/√2.
  • sin 60° = √3/2.
  • sin 90° = 1

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