What is the range of-5/6 sin(x) ?

The range of-5/6 sin(x) is -5/6 <= f(x)<= 5/6

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range of-5/6 sin(x)

range

- \frac{5}{6} sin (x)

- \frac{5}{6} \leq f (x) \leq \frac{5}{6}

Interval Notation

[- \frac{5}{6}, \frac{5}{6}]

Solution steps

The range of the basic

sin

function is

- 1 \leq sin (x) \leq 1

- 1 \leq sin (x) \leq 1

Multiply the edges of the range by:

- \frac{5}{6}

- \frac{5}{6} \leq - \frac{5}{6} sin (x) \leq \frac{5}{6}

Therefore the range is

- \frac{5}{6} \leq f (x) \leq \frac{5}{6}