ICSE 2004 : MATHEMATICS

MATHEMATICS

(Two hours and a half)

Question 12

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1.
(a) A function f is defined by f (x) = x² + 3, x ∈ N and x ≤ 5; find:
(i) the range of f (x)

Hint

First letter clue

2.
(a) A function f is defined by f (x) = x² + 3, x ∈ N and x ≤ 5; find:
(ii) f (2) − f (4).
(Type in the answers separated by commas. Leave no spaces around the commas.)

First letter clue

3.

(b) Prove
sin A

1 + cos A
+ 1 + cos A

sin A
= 2 cosec A.

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