Question

Cos45
Sec 30°+ Cosec 30°​

Answer 1

Question:

cos45°/sec30° + cosec 30

Answer:

$cos45°=\frac{1}{ \sqrt{2} }$

$sec30°=\frac{2}{ \sqrt{3} }$

$cosec30°=\sqrt{2}$

now putting the values of the trigonometric ratios in the question

$\implies⟹ cos45°/sec30° + cosec 30$

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

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

$\longrightarrow⟶ \frac{ \sqrt{3} + 4 }{2 \sqrt{2} }$

therefore , $\longrightarrow⟶ \huge \tt \underline \orange {Answer\: \frac{ \sqrt{3} + 4}{2 \sqrt{2} }}$

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