Question

find the value of 5 sin 30degree +3 tan 45 degree​

Answer 1

Question :-

Find the Value of 5 sin30° + 3 tan45°

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Solution :-

We know that,

$\mathtt {sin30^{\circ} = \dfrac{1}{2}}$ and $\mathtt {tan45^{\circ} = 1}$

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$\begin {aligned} \therefore\ \bold {5 sin30^{\circ} + 3 tan45^{\circ}} &= 5 \times \dfrac{1}{2} + 3 \times 1\\\\&= \dfrac{5}{2} + 3\ \ \ \boxed{\text{LCM of 2 and 1 is = 2}}\\\\\\&= \dfrac{5 + 6}{2} = \bf \dfrac{11}{2} \end {aligned}$

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Hence, the Value of $\mathtt {5\: sin30^{\circ} + 3\: tan45^{\circ}}$ is $\mathtt {\dfrac{11}{2}}$

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Additional Information :-

Trigonometry :- It is defined as the branch of Mathematics that deals with the study of relationship between sides and angles of a Triangle.

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Trigonometric Table:-

$\bullet\ \mathtt {Trigonometric\:Values} :\\\\\boxed{\begin{tabular}{c|c|c|c|c|c}Radians/Angle & 0^{\circ} & 30^{\circ} & 45^{\circ} & 60^{\circ} & 90^{\circ}\\\cline{1-6}Sin \theta & 0 & \dfrac{1}{2} & \dfrac{1}{\sqrt{2}} & \dfrac{\sqrt{3}}{2} & 1\\\cline{1-6}Cos \theta & 1 & \dfrac{\sqrt{3}}{2}& \dfrac{1}{\sqrt{2}}& \dfrac{1}{2}&0\\\cline{1-6}Tan \theta&0& \dfrac{1}{\sqrt{3}}&1&\sqrt{3}&Not D{e}fined\end{tabular}}$