Trigonometry Examples

\arctan (\sec (π))

$\arctan (\sec (π))$

Step 1

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because secant is negative in the second quadrant.

\arctan (- \sec (0))

$\arctan (- \sec (0))$

Step 2

The exact value of

\sec (0)

$\sec (0)$ is

1

$1$ .

\arctan (- 1 \cdot 1)

$\arctan (- 1 \cdot 1)$

Step 3

Multiply

- 1

$- 1$ by

1

$1$ .

\arctan (- 1)

$\arctan (- 1)$

Step 4

The exact value of

\arctan (- 1)

$\arctan (- 1)$ is

- \frac{π}{4}

$- \frac{π}{4}$ .

- \frac{π}{4}

$- \frac{π}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

- \frac{π}{4}

$- \frac{π}{4}$

Decimal Form:

- 0.78539816 \dots

$- 0.78539816 \dots$