TMUA 2023 Paper 2 Q12 — Worked Solution

P2·Trigonometry·6.5Official · 2023 · Q12

count-solutionssufficient-only-ifparameter

In this question,

p

is a real constant.The equation

sin x cos^{2} x = p^{2} sin x

has

n

distinct solutions in the range

0 \leq x \leq 2 π

.Which of the following statements is/are true?

n = 3

is sufficient for

p > 1

n = 7

only if

- 1 < p < 1

All questions

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