# Find the value of $5\sin {30^ \circ } + 3\tan {45^ \circ }.$

Answer

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Hint: In order to solve this type of question, firstly we have to substitute the value of $\sin {30^ \circ }$ and $\tan {45^ \circ }$ in the given equation. As we know that $\sin {30^ \circ } = \dfrac{1}{2}$ and $\tan {45^ \circ } = 1$.

Complete step-by-step answer:

We have given,

$5\sin {30^ \circ } + 3\tan {45^ \circ } - - - - \left( 1 \right)$

Now, putting the value of $\sin {30^ \circ }$ and $\tan {45^ \circ }$ in equation (1) , we get

$5\sin {30^ \circ } + 3\tan 45$

We know that $\sin {30^ \circ } = \dfrac{1}{2}$and $\tan {45^ \circ } = 1$

$5 \times \dfrac{1}{2} + 3 \times 1$

Or $\dfrac{5}{2} + 3$

Or $\dfrac{{5 + 6}}{2}$

Or $\dfrac{{11}}{2}$ is our desired answer.

Note: Whenever we face such a type of question the key concept is that we should write what is given to us, like we did. Then we have to substitute the value of $\sin {30^ \circ }$and $\tan {45^ \circ }$in the given question and we will get our desired answer.

Complete step-by-step answer:

We have given,

$5\sin {30^ \circ } + 3\tan {45^ \circ } - - - - \left( 1 \right)$

Now, putting the value of $\sin {30^ \circ }$ and $\tan {45^ \circ }$ in equation (1) , we get

$5\sin {30^ \circ } + 3\tan 45$

We know that $\sin {30^ \circ } = \dfrac{1}{2}$and $\tan {45^ \circ } = 1$

$5 \times \dfrac{1}{2} + 3 \times 1$

Or $\dfrac{5}{2} + 3$

Or $\dfrac{{5 + 6}}{2}$

Or $\dfrac{{11}}{2}$ is our desired answer.

Note: Whenever we face such a type of question the key concept is that we should write what is given to us, like we did. Then we have to substitute the value of $\sin {30^ \circ }$and $\tan {45^ \circ }$in the given question and we will get our desired answer.

Last updated date: 02nd Jun 2023

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