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Evaluate the following:
Choose the correct option and justify your choice:
If tan (A + B) = √3 and tan (A – B) = ; 0° < A + B ≤ 90°; A > B, find A and B.
State whether the following statements are true or false. Justify your answer.
(i) sin (A + B) = sin A + sin B.
(ii) The value of sin θ increases as θ increases.
(iii) The value of cos θ increases as θ increases.
(iv) sin θ = cos θ for all values of θ.
(v) cot A is not defined for A = 0°.