(i) Solve the following quadratic equation:
x²+4x-8=0 .
Give your answer correct to one decimal place.
(Use mathematical tables if necessary.)

(ii) Prove the following identity: (sin² θ — 1)(tan²θ + 1) + 1 = 0

(iii) Use graph sheet to answer this question. Take 2 cm = 1 unit along both the axes.
(a) Plot A, B, C where A(0, 4), B(I, 1) and C(4, 0)
(b) Reflect A and B on the x-axis and name them as E and D respectively.
(c) Reflect B through the origin and name it F. Write down the coordinates of F.
(d) Reflect B and C on the y-axis and name them as H and G respectively.
(e) Join points A, B, C, D, E, F, G, H and A in order and name the closed figure formed.

Solution

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