In the figure (2) given below, △ABC is right-angled at B. Given that ∠ACB = θ, side AB = 2 units and side BC = 1 unit, find the value of sin² θ + tan² θ.

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In the figure (1) given below, ∆ABC is isosceles with AB = AC = 5 cm and BC = 6 cm. Find
(i) sin C
(ii) tan B
(iii) tan C - cot B.

In △ABC, AB = AC = 15 cm, BC = 18 cm. Find
(i) cos ∠ABC
(ii) sin ∠ACB.