Question

Write 2 expressions using trigonometric ratios that are equivalent to 40/41

Answer 1

Two expression are:

`\sin A = (40)/(41)`

`\cos B = (40)/(41)`

Explanation:

Let rt triangle ABC.

Now, labeling the parts of a right triangle.

Let the right angle be labelled C and the hypotenuse c and

A and B denote the other two angles, and a and b the sides opposite them respectively.

In a right triangle ABC,

the trigonometric ratio is given by:

`\sin A = (opposite)/(Hypotenuse) = (a)/(c)=(40)/(41)`

`\cos B= (Adjacent side)/(Hypotenuse) = (a)/(c)=(40)/(41)`

Therefore, the two expression which is equivalent to
`(40)/(41)` is ;
`\sin A = (40)/(41)`

`\cos B = (40)/(41)`