Trigonometry Examples

$\sec (2 \tan (- 1 \frac{4}{3}))$

Step 1

Convert $1 \frac{4}{3}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$\sec (2 \tan (- (1 + \frac{4}{3})))$

Step 1.2

Add $1$ and $\frac{4}{3}$ .

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Step 1.2.1

Write $1$ as a fraction with a common denominator.

$\sec (2 \tan (- (\frac{3}{3} + \frac{4}{3})))$

Step 1.2.2

Combine the numerators over the common denominator.

$\sec (2 \tan (- \frac{3 + 4}{3}))$

Step 1.2.3

Add $3$ and $4$ .

$\sec (2 \tan (- \frac{7}{3}))$

Step 2

Evaluate $\tan (- \frac{7}{3})$ .

$\sec (2 \cdot 1.04680037)$

Step 3

Multiply $2$ by $1.04680037$ .

$\sec (2.09360075)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sec (2.09360075)$

Decimal Form:

$- 2.00275612 \dots$