Question

Find the value of
2 tan 45° × Cos 60° / Sin 60°​

Answer 1

${\pmb{\sf{\bigstar \: {\underline{Explanation...}}}}}$

★ This question says that we have to find out the value of 2tan45° × Cos60° / Sin60° To solve this question we just have to use the trigonometry table and have to put the value according to the given degree as the trigonometry table says.

${\pmb{\sf{\bigstar \: {\underline{Knowledge \: Required...}}}}}$

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\sf Trigonometry\: Table \\ \begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\boxed{\begin{array}{ |c |c|c|c|c|c|} \bf\angle A & \bf{0}^{ \circ} & \bf{30}^{ \circ} & \bf{45}^{ \circ} & \bf{60}^{ \circ} & \bf{90}^{ \circ} \\ \\ \tt sin A & 0 & \dfrac{1}{2}& \dfrac{1}{ \sqrt{2} } & \dfrac{ \sqrt{3}}{2} &1 \\ \\ \tt cos A & 1 & \dfrac{ \sqrt{3} }{2}& \dfrac{1}{ \sqrt{2} } & \dfrac{1}{2} &0 \\ \\ \tt tan A & 0 & \dfrac{1}{ \sqrt{3} }&1 & \sqrt{3} & \tt \infty \\ \\ \tt cosec A & \tt \infty & 2& \sqrt{2} & \dfrac{2}{ \sqrt{3} } &1 \\ \\ \tt sec A & 1 & \dfrac{2}{ \sqrt{3} }& \sqrt{2} & 2 & \tt \infty \\ \\ \tt cotA & \tt \infty & \sqrt{3} & 1 & \dfrac{1}{ \sqrt{3} } & 0 \end{array}}}\end{gathered}\end{gathered}\end{gathered} \end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered} \end{gathered}\end{gathered}\end{gathered}$

${\pmb{\sf{\bigstar \: {\underline{Full \; Solution...}}}}}$

▶️ 2tan45° × Cos60° / Sin60°

▶️ 2(1) × 1/2 / √3/2

▶️ 2 × 1/2 / √3/2

▶️ 1/√3/2

• Henceforth 1/√3/2 is the value of 2tan45° × Cos60° / Sin60°

Answer 2

$\colorbox{lightgreen}{☑Verified \: Answer}$

★ Concept :

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★ Cos function (or cosine function) in a triangle is the ratio of the adjacent side to that of the hypotenuse.

★ The cosine function is one of the three main primary trigonometric functions and it is itself the complement of sine(co+sine).

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➺ Verified Solution :

$\sf \implies 2tan45° × \sf\frac{Cos60°}{Sin60°}$

$\sf \implies2(1)× \sf \frac{1}{2 } / \frac{ \sqrt{3} }{2}$

$\sf \implies2× \sf\frac{1}{2} / \frac{ \sqrt{3} }{2}$

$\bf \implies \frac{1}{ \bf\frac{ \sqrt{3} }{2} }$

• Hence, 1/√3/2 is the value of 2 tan 45° × cos60° / sin60°.

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★ Always take care of signs...

★ Be Brainly :)

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