Trigonometry Examples

$\frac{\sin (θ)}{\csc (θ)}$

Step 1

Rewrite $\csc (θ)$ in terms of sines and cosines.

$\frac{\sin (θ)}{\frac{1}{\sin (θ)}}$

Step 2

Multiply by the reciprocal of the fraction to divide by $\frac{1}{\sin (θ)}$ .

$\sin (θ) \sin (θ)$

Step 3

Simplify.

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Step 3.1

Raise $\sin (θ)$ to the power of $1$ .

$\sin^{1} (θ) \sin (θ)$

Step 3.2

Raise $\sin (θ)$ to the power of $1$ .

$\sin^{1} (θ) \sin^{1} (θ)$

Step 3.3

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

${\sin (θ)}^{1 + 1}$

Step 3.4

Add $1$ and $1$ .

$\sin^{2} (θ)$