Question

find value of sin 30+tan 30 +cosec 60​

Answer 1

Step-by-step explanation:

Sin30 +tan30 +cosec60

$\frac{1}{2} + \frac{1}{ \sqrt{3} } + 1$

$\frac{ \sqrt{3 } + 2 + 2 \sqrt{3} }{2 \sqrt{3} }$

$\frac{2 + 3\sqrt{3} }{2 \sqrt{3} }$

$\frac{5 \sqrt{3} }{2 \sqrt{3} }$

$\frac{5}{2} \: \: \: answer$

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Answer 2

Answer:

$\large \sf{ \sin(30) + \tan(30) + \csc(60) = } \mathcal { \color{lightgreen}{ \frac{1 + \sqrt{3} }{2} }}$

Step-by-step explanation:

$\sf{ \underline{ \color{red}{:⟹ \sin(30) + \tan(30) + \csc(60) }}}$

$\sf{:⟹ \sin(30) = \frac{1}{2} } \\ \sf{:⟹ \tan(30) = \frac{1}{ \sqrt{3} } } \\ \sf{ :⟹\csc(60) = \frac{2}{ \sqrt{3} } }$

$\sf{ :⟹\frac{1}{2} + \frac{1}{ \sqrt{3} } + \frac{2}{ \sqrt{3} } }$

$\sf{ :⟹\frac{1}{2} + \frac{3}{ \sqrt{3} } }$

$\sf{:⟹ \frac{ \sqrt{3} + 6 }{2 \sqrt{3} } }$

$\sf{ :⟹\frac{ \sqrt{3} + 6}{2 \sqrt{3} } \times \frac{2 \sqrt{3} }{2 \sqrt{3} } }$

$\sf{:⟹ \frac{12 \sqrt{3} + 6 }{12} }$

$\sf{:⟹ \frac{6(2 \sqrt{3} + 1) }{12} }$

$\huge\sf { \underline{ \underline{ \color{skyblue}{:⟹ \frac{1 + \sqrt{3} }{2} }}}}$

Note:-

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