The ellipse E has equation
x + y2 = 1
36 20
Find
(a) the coordinates of the foci of E,
(3)
(b) the equations of the directrices of
... [Show More] E.
(2)
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(Total for Question 1 is 5 marks)
*P66798A0332*
x
2. (i) Use the substitution t = tan to prove the identity 2
sin x − cos x + 1 nπ
+ cos x − 1 ≡ sec x + tan x x ≠ 2 n sin x
(5) (ii) Use the substitution t = tan to determine the exact value of
giving your answer in simplest form. [Show Less]