TMUA Sed (CoderLovesEggs) Paper 2 with Solutions · Question 6

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Sed (CoderLovesEggs) Paper 2 with Solutions · Q6

Paper 2TrigonometryFunctions & graphs

Let $-1\le k\le1$ and $a>0$ .

The precise range of $a$ for which there exists a $k$ such that

\sin(ax)=k

has 2 solutions for $0\le x\le2\pi$ is:

\dfrac14<a<\dfrac74

;

\dfrac14<a<1

;

\dfrac14<a\le\dfrac{11}4

;

\dfrac14<a<\dfrac{11}4

;

\dfrac12\le a<\dfrac{11}4

;

\dfrac12<a<\dfrac{11}4

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