Question

How does the value of `sinx` change, as `x` increases from `pi/2` to `pi` radians?

Answer 1

As angle `x` increases from `pi/2` to `pi` radians, the value of `sinx` decreases from `1` to `0`

Explanation:

The graph shown below depicts the changes in value is `sinx`.

Observe that in `Q1` as `x` increases from `0` to `pi/2` radians, `sinx` increases from `0` to `1`

as `x` further moves from `pi/2` to `pi` radians in `Q2`, `sinx` decreases from `1` to `0`.

`sinx` continues to decrease further from `0` to `-1` in `Q3` as `x` moves from `pi` to `(3pi)/2` radians

and again starts increasing from `-1` to `0`, as `x` moves from `(3pi)/2` to `2pi` radians completing its cycle.

Hence, as angle `x` increases from `pi/2` to `pi` radians, the value of `sinx` decreases from `1` to `0`