If sinA = 1/2, cosB = 12/13, where π/2

Question

If sinA = 1/2, cosB = 12/13, where π/2<A < π And 3π/2 <B < 2π, find tan(A -B).

Philoid · Accepted Answer

Given sinA = 1/2 And cosB = 12/13 where π/2

A is in second quadrant And B is in fourth quadrant.

In the second quadrant, the sine function is positive And cosine And tan functions negative.

In the fourth quadrant, sine And tan functions are negative, And cosine function are positive.

We know that