Find the Exact Value arcsec(-tan((3pi)/4))

$arcsec (- \tan (\frac{3 π}{4}))$

Step 1

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

$arcsec (- - \tan (\frac{π}{4}))$

Step 2

The exact value of $\tan (\frac{π}{4})$ is $1$ .

$arcsec (- (- 1 \cdot 1))$

Step 3

Multiply $- (- 1 \cdot 1)$ .

Multiply $- 1$ by $1$ .

$arcsec (- - 1)$

Multiply $- 1$ by $- 1$ .

$arcsec (1)$

Step 4

The exact value of $arcsec (1)$ is $0$ .

$0$

Find the Exact Value arcsec(-tan((3pi)/4))

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