Trigonometry Examples

$\sin (\frac{3}{5} - \frac{4}{5})$

Step 1

Combine the numerators over the common denominator.

$\sin (\frac{3 - 4}{5})$

Step 2

Simplify the expression.

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Step 2.1

Subtract $4$ from $3$ .

$\sin (\frac{- 1}{5})$

Step 2.2

Move the negative in front of the fraction.

$\sin (- \frac{1}{5})$

Step 3

Since $\sin (- \frac{1}{5})$ is an odd function, rewrite $\sin (- \frac{1}{5})$ as $- \sin (\frac{1}{5})$ .

$- \sin (\frac{1}{5})$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \sin (\frac{1}{5})$

Decimal Form:

$- 0.19866933 \dots$