Using the measurements given in the figure alongside,
(a) Find the values of:
(i) sin Φ
(ii) tan θ.
(b) Write an expression for AD in terms of θ.

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In the figure (2) given below, ∆ABC is right-angled at B and BD is perpendicular to AC. Find :
(i) cos ∠CBD
(ii) cot ∠ABD

Prove the following:
(sin A + cos A)² + (sin A - cos A)² = 2