Trigonometry Examples

$\cos (θ) = 0$ , $\csc (θ) = 1$

Step 1

To find the value of $\sin (θ)$ , use the fact that $\frac{1}{\csc (θ)}$ then substitute in the known values.

$\sin (θ) = \frac{1}{\csc (θ)} = \frac{1}{1}$

Step 2

Divide $1$ by $1$ .

$\sin (θ) = \frac{1}{\csc (θ)} = 1$

Step 3

To find the value of $\tan (θ)$ , use the fact that $\tan (θ) = \frac{\sin (θ)}{\cos (θ)}$ then substitute in the known values.

$\tan (θ) = \frac{\sin (θ)}{\cos (θ)} = \frac{1}{0}$

Step 4

The expression contains a division by $0$ . The expression is undefined.

Undefined

Step 5

To find the value of $\cot (θ)$ , use the fact that $\frac{1}{\tan (θ)}$ then substitute in the known values.

Undefined

Step 6

To find the value of $\sec (θ)$ , use the fact that $\frac{1}{\cos (θ)}$ then substitute in the known values.

$\sec (θ) = \frac{1}{\cos (θ)} = \frac{1}{0}$

Step 7

The expression contains a division by $0$ . The expression is undefined.

Undefined

Step 8

The trig functions found are as follows:

Undefined