Calculus Examples

$\sin (\frac{1}{\frac{2}{7 π}})$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\sin (1 \frac{7 π}{2})$

Step 2

Multiply $\frac{7 π}{2}$ by $1$ .

$\sin (\frac{7 π}{2})$

Step 3

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 4

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 5

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

$- 1 \cdot 1$

Step 6

Multiply $- 1$ by $1$ .

$- 1$