Question

Find the value of
1/root3 sec 60 _ cosec 60

Answer 1

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Answer 2

The value of $\dfrac{1}{\sqrt{3}} \sec 60- \cosec 60=1.$

Step-by-step explanation:

We have,

$\dfrac{1}{\sqrt{3}} \sec 60- \csc 60$

To find, the value of $\dfrac{1}{\sqrt{3}} \sec 60- \cosec 60=?$

∴ $\dfrac{1}{\sqrt{3}} \sec 60- \csc 60$

$=\dfrac{1}{\sqrt{3}} \sec 60- \csc 60$

$=\dfrac{1}{\sqrt{3}} (2)-\dfrac{2}{\sqrt{3}}$

[ ∵ $\sec 60=2$ and $\csc 60=\dfrac{2}{\sqrt{3}}$]

$=\dfrac{2}{\sqrt{3}}-\dfrac{2}{\sqrt{3}}$

$=0$

Hence, the value of $\dfrac{1}{\sqrt{3}} \sec 60- \cosec 60=1$.