If sin(A+B)=1 and 2sin(A-B)=1,where A,B are between 0 and 90 degree then what is the value of tan A:tan B

Transcript

00:00So, here we have a question.

00:01Sin A plus B is equal to 1 and 2 sin A minus B is equal to 1.

00:06So, first of all, we have 10 ratio of 10.

00:09So, first of all, we will solve this equation.

00:12And we will see how we can find a hint.

00:15So, sin A plus B is equal to 1.

00:18Sin A plus B is equal to 1.

00:20Sin A plus B plus sin B is equal to 1.

00:291 is equal to 2 sin A minus B.

00:342 into sin A minus B is equal to sin A minus B.

00:37Sin A plus B minus 2.

00:43This is equal to 2 sin A minus B.

00:50We will solve this equation.

00:51This is equal to the left side.

00:56So, this is equal to 2 sin B.

00:59Plus cos A plus sin B.

01:003 cos A minus B is equal to 2.

01:062 minus A minus A minus B.

01:08So, this is equal to sin A cos B.

01:12Sin A upon sin B.

01:15Sin A upon sin B.

01:18Sin A upon cos A.

01:23Sin A plus B is equal to sin A.

01:44This is equal to sin B.

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