If tan A `=a/b`, then find the value of `("a sin A- b cos A")/("a sin A + b cos A")`.

If theta be a positive acute angle and tan theta=(a)/(b) , then find the value of (a sin theta-b cos theta)/(a sin theta+b cos theta).

If tan theta=(a)/(b) , find the value of (a sin theta-b cos theta)/(asin theta+b cos theta)

If tan theta = a/b then find the simpliest value of (b cos theta-a sin theta)/(b cos theta+ a sin theta)

If cos A = cos B = -1/2 and A does not lie in the second quadrant and B does not lie in the third quadrant, then find the value of (4sin B - 3 tan A)/(tan B + sin A)

If tan A = (sin B)/(1 - cos B) ,then find the value of tan 2A .

If sin A +sin B =2, then the value of cos (A+B) is-

If A = 60 ^(@) and B = 30 ^(@) , find the value of (sin A cos B+ cos A sin B)^(2) + (cos A cos B - sin A sin B )^(2)

In a Delta ABC ,angle C=90^(@)and tan A=(1)/(sqrt(3)). find the values of : (i) (sin A*cos B+ cos A*sin B ) " " (ii) (cos A*cos B-sin A*sin B)

If tan theta=(a)/(b) , then find the value of (sin theta)/(cos^(8)theta)+(cos theta)/(sin^(8)theta) .

If tan A =1 and tan b = sqrt3 , evaluate : sin A cos B+ cos A sin B.