Question

evaluate 1/√3 sec 60 + cosec 60​

Answer 1

Value of sec 60 is 2 and cosec 60 is 2/√3

Now,

1/√3*2+2/√3 =2/√3 +2/√3

After solving we get 4√3/3 Ans

Answer 2

$\frac{1}{\sqrt3} \sec 60+\csc 60=0$

Step-by-step explanation:

Given : Expression $\frac{1}{\sqrt3} \sec 60+\csc 60$

To find : Evaluate the expression ?

Solution :

Expression $\frac{1}{\sqrt3} \sec 60+\csc 60$

Using trigonometric values,

$\sec 60^\circ=2$

and $\csc 60^\circ =\frac{2}{\sqrt 3}$

Substitute the value,

$\frac{1}{\sqrt3} \sec 60+\csc 60=\frac{1}{\sqrt3}\times 2-\frac{2}{\sqrt3}$

$\frac{1}{\sqrt3} \sec 60+\csc 60=\frac{2}{\sqrt3}-\frac{2}{\sqrt3}$

$\frac{1}{\sqrt3} \sec 60+\csc 60=0$

#Learn more

Cos30_sin45+cosec 60​

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