Question

If $x\in [4\pi ,6\pi ]\text{and}|\sin x|\le \cos x$ then

• A. the set of values of $x$ is $[4\pi ,\frac{17\pi }{4}]$
• B. the set of values of $x$ is $(\frac{17\pi }{4},5\pi )$
• C. the number of solutions that are integral multiples of $\frac{\pi }{4}$ is $2$
• D. the number of solutions that are even multiple of $\pi$ is $2$.

Answer 1

The correct option is D the number of solutions that are even multiple of $\pi$ is $2$.