Question

2 sin 30° + cos 0° + 3 sin 30°​

Answer 1

Answer:

2*1/2+1+3*1/2

1+1+3/2

7/2

Answer 2

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

★ This question says that we have to find out the value of 2sin30° + cos0° + 3sin30°. 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.

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

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

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

➼ 2sin30° + cos0° + 3sin30°

➼ 2(1/2) + 1 + 3(1/2)

➼ 1 + 1 + 3/2

➼ 1/1 + 1/1 + 3/2

➼ 7/2

• Henceforth, 7/2 is the value of 2sin30° + cos0° + 3sin30°