Question

cos 45°÷ sec30°+ cosec30°
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Answer 1

Answer:

2.433

Step-by-step explanation:

cos 45° = 1/√ 2

sec 30°= 2/√ 3

cosec 30°= 2

applying BODMAS rule,

1/√ 2 ÷ 2/√ 3 + 2

1/√ 2 ×√ 3/2 + 2

√ 3/4 + 2

taking the LCM,

√ 3+8/4

now put the value of √ 3

which is 1.732

1.732+8/4

9.732/4

which is

2.433

Answer 2

Answer:

$\huge \underline {\sf { \red{Given}}}$

Cos45°÷sec30°+cosec30°

Solution:-

Cos45°÷Sec30°+Cosec30°

$\boxed{cos45 = \frac{1}{ \sqrt{2} } }$

$\boxed{sec30 = \frac{2}{ \sqrt{3} }}$

$\boxed{cosec30 = 2}$

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

$= \frac{1}{ \sqrt{2} } \div \frac{ \sqrt{ 3} }{2(1 \times \sqrt{3 \: )} }$

$= \frac{1}{ \sqrt{2} } \div \frac{ \sqrt{3} }{2 \sqrt{3} }$

$= \frac{1}{ \sqrt{2} } \times \frac{2 \sqrt{3} }{ \sqrt{ 3} }$

$= \frac{2 \sqrt{3} }{ \sqrt{6} }$

The value of Cos45°÷sec30°+cosec30° is 2√3/6