Question

if A≥B sinA≥sinB it is true why​

Answer 1

Your'e question is very good.

The thing is that this inequality is not always true.

In Trignometry for angles which are greater than 90 degrees there is a special law by which there values are determined.

We will focus our attention towards a single point that

• sin is positive only when between 0 and 180 degrees (+2nπ radians)

• sin is negative when between 180 and 360 degrees (+2nπ radians)

(+2nπ radians is a concept for later.)

Now clearly,

any angle between 180 and 360 degree (say Ф)>any angle between 0 and 180 degrees(say ω)

(This implies that sinФ and sinω are negative and positive respectively)

Ф>ω

therefore,

sinФ>sinω

But this is never possible as a negative quantity may never be greater than a positive one.

Hence this inequality is not always true.

But it is true for two limits

1. 0 to 180 degrees
2. 180 and 360 degrees