Question

Find the value of tan45° + sec 30°​

Answer 1

Step-by-step explanation:

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Answer 2

⠀⠀⠀⠀⠀⠀$\underline {\frak{\star \: By \: Substituting \: Values \::}}$

$\qquad :\implies\pink{ \sf{ \tan 45\degree + \sec 30\degree}}$

$\qquad :\implies \sf{ \bigg( \dfrac{2}{\sqrt {3}} \bigg) + 1 }$

$\qquad :\implies \sf{ \dfrac{2}{√3} + 1 }$

$\qquad :\implies \sf{ \dfrac{2+√3}{√3} }$

$\qquad :\implies \purple{\bf{ Answer\:= \dfrac{2+√3}{√3} }}$

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

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