Question

The function which is neither decreasing nor increasing in (π/2,3π/2) is:

1️⃣ cosec x
2️⃣ tanx
3️⃣ |x-1|
4️⃣ 2x​

Answer 1

Trigonometric functions:

Explanation:

• The trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths.

• Given that $\displaystyle \theta(\frac{\pi }{2},\frac{3\pi }{2} )$  is neither decreasing nor increasing.

• In the given diagram, the graph of the sinusoidal waveform of the cosec function shows that the function which is neither decreasing nor increasing at  $\displaystyle \theta(\frac{\pi }{2},\frac{3\pi }{2} )$.

Correct option is 1) cosec x

Refer to the following diagram: