Math, asked by kalyankeerthi57, 9 months ago

If root 3 tan is equal to 3 sin theta then what is cos theta​

Answers

Answered by Anonymous
18

\huge\tt{\red{Given:}}

\sqrt{3}tan\theta=3sin\theta

\huge\tt{\red {To\:\:Find:}}

Value\:\: of\:\: cos\theta

\huge\tt{\red {Concept\:\:Used:}}

★We will use some basic formulas related to

trigonometry.

\huge\tt{\red {Answer:}}

We have,

\implies \sqrt{3}tan\theta=3sin\theta

\implies \sqrt{3}\dfrac{sin\theta}{cos\theta}=3sin\theta

\implies cos\theta =\dfrac{\sqrt{3}sin\theta}{3sin\theta}

\implies cos\theta =\dfrac{\cancel{\sqrt{3}}\cancel{sin\theta}}{\cancel{\sqrt{3}}\times\sqrt{3}\cancel{sin\theta}}

{\underline{\boxed{\red{.\degree.cos\theta=\dfrac{1}{\sqrt{3}}}}}}

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