Question

find value of cos28°/sin 62°

Answer 1

Assuming all the angles in degrees.

We can write 
cos(28)=sin(90–62)=sin(62)cos⁡(28)=sin⁡(90–62)=sin⁡(62)

So, sin(62)/sin(62)=1

Answer 2

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

Given :

The expression

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

To find :

The value of the expression

Formula :

sin( 90° - θ ) = cos θ

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

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

Step 2 of 2 :

Find the value of the expression

We use the formula

sin( 90° - θ ) = cos θ

Thus we get

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

$\displaystyle \sf{ = \frac{cos \: {28}^{ \circ} }{sin\: ({90}^{ \circ} - {28}^{ \circ} )} }$

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

$= 1$

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