Simplify sin(pi)+cos(pi)

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Trigonometry

$\sin (π) + \cos (π)$

Simplify each term.

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

$\sin (0) + \cos (π)$

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

$0 + \cos (π)$

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.

$0 - \cos (0)$

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

$0 - 1 \cdot 1$

Multiply $- 1$ by $1$ .

$0 - 1$

Subtract $1$ from $0$ .

$- 1$

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