Trigonometry Examples

$\csc (\frac{15}{20})$

Step 1

Replace $\csc (\frac{15}{20})$ with an equivalent expression $\frac{1}{\sin (\frac{15}{20})}$ using the fundamental identities.

$\frac{1}{\sin (\frac{15}{20})}$

Step 2

Simplify.

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Step 2.1

Cancel the common factor of $15$ and $20$ .

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Step 2.1.1

Factor $5$ out of $15$ .

$\frac{1}{\sin (\frac{5 (3)}{20})}$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor $5$ out of $20$ .

$\frac{1}{\sin (\frac{5 \cdot 3}{5 \cdot 4})}$

Step 2.1.2.2

Cancel the common factor.

$\frac{1}{\sin (\frac{5 \cdot 3}{5 \cdot 4})}$

Step 2.1.2.3

Rewrite the expression.

$\frac{1}{\sin (\frac{3}{4})}$

Step 2.2

Convert from $\frac{1}{\sin (\frac{3}{4})}$ to $\csc (\frac{3}{4})$ .

$\csc (\frac{3}{4})$

Step 2.3

Evaluate $\csc (\frac{3}{4})$ .

$1.46705272$