Evaluate sin(pi)+cos(pi)+tan((3pi)/4)

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Algebra

$\sin (π) + \cos (π) + \tan (\frac{3 π}{4})$

Simplify each term.

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Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

$\sin (0) + \cos (π) + \tan (\frac{3 π}{4})$

The exact value of $\sin (0)$ is $0$ .

$0 + \cos (π) + \tan (\frac{3 π}{4})$

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

$0 - \cos (0) + \tan (\frac{3 π}{4})$

The exact value of $\cos (0)$ is $1$ .

$0 - 1 \cdot 1 + \tan (\frac{3 π}{4})$

Multiply $- 1$ by $1$ .

$0 - 1 + \tan (\frac{3 π}{4})$

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.

$0 - 1 - \tan (\frac{π}{4})$

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

$0 - 1 - 1 \cdot 1$

Multiply $- 1$ by $1$ .

$0 - 1 - 1$

Simplify by subtracting numbers.

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Subtract $1$ from $0$ .

$- 1 - 1$

Subtract $1$ from $- 1$ .

$- 2$

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