Question

sec 30 degree by cosec 60 degree =​

Answer 1

Step-by-step explanation:

sec30°/cosec60°=sec30°\sec(90°-60°)=sec30°\sec30°=1✓

Answer 2

$\displaystyle \sf{ \frac{sec \: {30}^{ \circ} }{cosec \: {60}^{ \circ} } } = 1$

Given :

$\displaystyle \sf{ \frac{sec \: {30}^{ \circ} }{cosec \: {60}^{ \circ} } }$

To find :

The value of the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

$\displaystyle \sf{ \frac{sec \: {30}^{ \circ} }{cosec \: {60}^{ \circ} } }$

Step 2 of 2 :

Find the value of the expression

$\displaystyle \sf{ \frac{sec \: {30}^{ \circ} }{cosec \: {60}^{ \circ} } }$

$\displaystyle \sf{ = \frac{sec \: ( {90}^{ \circ} - {60}^{ \circ} ) }{cosec \: {60}^{ \circ} } }$

$\displaystyle \sf{ = \frac{cosec \: {60}^{ \circ} }{cosec \: {60}^{ \circ} } }$

$\displaystyle \sf{ = 1}$