Question

$\cos(45) \div \sec(30) + \csc(30 )$
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Answer 1

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$\Cos(45°) \div \sec(30) + \csc(30 )$

$\huge\tt{\boxed{\overbrace{\underbrace{\blue{Answer</p><p> }}}}}$

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{ trigonometric values Is given :-

$\boxed{\bold{Cos45° = \frac{1}{ \sqrt{2} }}}$

$\boxed{\bold{Sec30 °= \frac{2}{ \sqrt{3} }}}$

$\boxed{\bold{Cosec30° = 2}}$

Now ,solving the main Question

$⇛Cos45° \div Sec30° + Cosec30°$

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

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

$⇛\frac{ \sqrt{3} }{2 \sqrt{2} } + 2$

$⇛ \frac{ \sqrt{3} + 2(2 \sqrt{2} ) }{2 \sqrt{2} } = \frac{ \sqrt{3} + 4 \sqrt{2} }{2 \sqrt{2} }$

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