Using the measurements given in the following figure :
(i) Find the value of sin Φ and tan θ.
(ii) Write an expression for AD in terms of θ.

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In the figure, given below, ABC is an isosceles triangle with BC = 8 cm and AB = AC = 5 cm. Find :
(i) sin B
(ii) tan C.
(iii) sin² B + cos² B
(iv) tan C - cot B

If sin A + cosec A = 2; find the value of sin² A + cosec² A.