Question

The minimum value of sinx - cosx is ____________.

Options

• `-sqrt2`

• 0

• 1

• -1

Answer 1

The minimum value of sinx - cosx is `underline(-sqrt2)`.

Explanation:

Because the range of the sine and cosine functions is [-1,1], Sine, on the other hand, is a growing function, while cosine is a decreasing function. As a result, the lowest that both may achieve is - 45°.

`(- 1/sqrt2) + (- 1/sqrt2) = - sqrt2`