tmua 2023 Q12

tmua · Uk · paper2 1 marks Standard trigonometric equations Solve trigonometric equation for solutions in an interval

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 $0 \leq x \leq 2 \pi$ Which of the following statements is/are true?
I $n = 3$ is sufficient for $p > 1$ II $n = 7$ only if $- 1 < p < 1$
A none of them B I only C II only D I and II

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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 $0 \leq x \leq 2 \pi$ Which of the following statements is/are true?

I $n = 3$ is sufficient for $p > 1$
II $n = 7$ only if $- 1 < p < 1$

A none of them
B I only
C II only
D I and II

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20