Calculus Examples

$- \sin (\frac{7 π}{2})$

Step 1

Subtract full rotations of $2 π$ until the angle is greater than or equal to $0$ and less than $2 π$ .

$- \sin (\frac{3 π}{2})$

Step 2

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

$- - \sin (\frac{π}{2})$

Step 3

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

$- (- 1 \cdot 1)$

Step 4

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

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Step 4.1

Multiply $- 1$ by $1$ .

$- - 1$

Step 4.2

Multiply $- 1$ by $- 1$ .

$1$