Trigonometria Exemplos

$\csc (x) - \cot (x) (\csc (x) + \cot (x))$

Etapa 1

Aplique a propriedade distributiva.

$\csc (x) - \cot (x) \csc (x) - \cot (x) \cot (x)$

Etapa 2

Multiplique $- \cot (x) \cot (x)$ .

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Etapa 2.1

Eleve $\cot (x)$ à potência de $1$ .

$\csc (x) - \cot (x) \csc (x) - (\cot^{1} (x) \cot (x))$

Etapa 2.2

Eleve $\cot (x)$ à potência de $1$ .

$\csc (x) - \cot (x) \csc (x) - (\cot^{1} (x) \cot^{1} (x))$

Etapa 2.3

Use a regra da multiplicação de potências $a^{m} a^{n} = a^{m + n}$ para combinar expoentes.

$\csc (x) - \cot (x) \csc (x) - {\cot (x)}^{1 + 1}$

Etapa 2.4

Some $1$ e $1$ .

$\csc (x) - \cot (x) \csc (x) - \cot^{2} (x)$

Etapa 3

Fatore $- 1$ de $\csc (x) - \cot (x) \csc (x) - \cot^{2} (x)$ .

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Etapa 3.1

Fatore $- 1$ de $\csc (x)$ .

$- 1 (- \csc (x)) - \cot (x) \csc (x) - \cot^{2} (x)$

Etapa 3.2

Fatore $- 1$ de $- \cot (x) \csc (x)$ .

$- 1 (- \csc (x)) - (\cot (x) \csc (x)) - \cot^{2} (x)$

Etapa 3.3

Fatore $- 1$ de $- \cot^{2} (x)$ .

$- 1 (- \csc (x)) - (\cot (x) \csc (x)) - (\cot^{2} (x))$

Etapa 3.4

Fatore $- 1$ de $- 1 (- \csc (x)) - (\cot (x) \csc (x))$ .

$- 1 (- \csc (x) + \cot (x) \csc (x)) - (\cot^{2} (x))$

Etapa 3.5

Fatore $- 1$ de $- 1 (- \csc (x) + \cot (x) \csc (x)) - (\cot^{2} (x))$ .

$- 1 (- \csc (x) + \cot (x) \csc (x) + \cot^{2} (x))$

Etapa 3.6

Reescreva $- 1 (- \csc (x) + \cot (x) \csc (x) + \cot^{2} (x))$ como $- (- \csc (x) + \cot (x) \csc (x) + \cot^{2} (x))$ .

$- (- \csc (x) + \cot (x) \csc (x) + \cot^{2} (x))$