How many distinct solutions are there to the equation \(\cos 5 x+\sin x=0\) for \(0 \leq x \leq 2 \pi\) ?
- 5
- 6
- 9
- 10
Show Worked Solution
\(\cos\, 5 x+\sin\, x=0\ \ \Rightarrow \ \ \cos\,5x=- \sin\,x \)
♦♦ Mean mark 34%.
\(\text{A freehand sketch of both graphs:}\)
\(\Rightarrow D\)