Question

Sin49/cos31 equals to what ........................?

Answer 1

Answer:

The numeric value of sin49°/cos31° is 1 .

Step-by-step explanation:

Given equation : sin49° / cos31°

From the properties of trigonometry, we know :

sinA = cos( 90 - A )

Or, cosA = sin( 90 - A )

On the basis of the properties given above, there are two methods for the solution : -

           Method 1      

⇒ sin49° / cos31°

Changing sine to cosine.

= >  sin( 90 - 31 )° / cos31°

= >  cos31° / cos31°

= >  1

                Method 2      

⇒ sin49° / cos31°

Changing cosine to sine.

= >  sin49° / cos( 90 - 49 )°

= >  sin49° / sin49°

= >  1

From both the solutions, answer is same i.e. 1.

Therefore the numeric value of sin49°/cos31° is 1 .