Algebra Examples

$\sin (\frac{π}{2}) + \cos (π)$

Step 1

Simplify each term.

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Step 1.1

The exact value of $\sin (\frac{π}{2})$ is $1$ .

$1 + \cos (π)$

Step 1.2

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.

$1 - \cos (0)$

Step 1.3

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

$1 - 1 \cdot 1$

Step 1.4

Multiply $- 1$ by $1$ .

$1 - 1$

Step 2

Subtract $1$ from $1$ .

$0$