If SinA = 1/2, cosB = , where π/2<A < π And 0 <B < π/2, find the following:

(i) tan(A +B)(ii) tan(A -B)

Given sinA = 1/2 And cosB = √3/2 where π/2 <A < π And 0 <B < π/2,

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

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

In first quadrant, All functions are positive.

__We know that__

Then,

(i) tan(A +B)

We know that

= 0

(ii) tan(A –B)

We know that

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