Question

find the value of sin 28 by cos 62​

Answer 1

Answer:

sin(90-62)/cos 62

=cos 62/cos 62

=1

Answer 2

$\displaystyle \sf{ \frac{sin \: {28}^{ \circ} }{cos\: {62}^{ \circ} } } = 1$

Given :

$\displaystyle \sf{ \frac{sin \: {28}^{ \circ} }{cos\: {62}^{ \circ} } }$

To find :

The value of the expression

Formula :

sin ( 90° - A ) = cos A

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

$\displaystyle \sf{ \frac{sin \: {28}^{ \circ} }{cos\: {62}^{ \circ} } }$

Step 2 of 2 :

Find the value of the expression

We use the formula sin ( 90° - A ) = cos A

Thus we get

$\displaystyle \sf{ \frac{sin \: {28}^{ \circ} }{cos\: {62}^{ \circ} } }$

$\displaystyle \sf{ = \frac{sin \: ( {90}^{ \circ} - {62}^{ \circ} )}{cos\: {62}^{ \circ} } }$

$\displaystyle \sf{ = \frac{cos\: {62}^{ \circ} }{cos\: {62}^{ \circ} } }$

$\displaystyle \sf{ = 1 }$