Trigonometry Examples

cos (θ) = 0

$\cos (θ) = 0$ ,

csc (θ) = 1

$\csc (θ) = 1$

Step 1

To find the value of

sin (θ)

$\sin (θ)$ , use the fact that

\frac{1}{csc (θ)}

$\frac{1}{\csc (θ)}$ then substitute in the known values.

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

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

Step 2

Divide

1

$1$ by

1

$1$ .

sin (θ) = \frac{1}{csc (θ)} = 1

$\sin (θ) = \frac{1}{\csc (θ)} = 1$

Step 3

To find the value of

tan (θ)

$\tan (θ)$ , use the fact that

tan (θ) = \frac{sin (θ)}{cos (θ)}

$\tan (θ) = \frac{\sin (θ)}{\cos (θ)}$ then substitute in the known values.

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

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

Step 4

The expression contains a division by

0

$0$ . The expression is undefined.

Undefined

Step 5

To find the value of

cot (θ)

$\cot (θ)$ , use the fact that

\frac{1}{tan (θ)}

$\frac{1}{\tan (θ)}$ then substitute in the known values.

Undefined

Step 6

To find the value of

sec (θ)

$\sec (θ)$ , use the fact that

\frac{1}{cos (θ)}

$\frac{1}{\cos (θ)}$ then substitute in the known values.

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

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

Step 7

The expression contains a division by

0

$0$ . The expression is undefined.

Undefined

Step 8

The trig functions found are as follows:

Undefined