Trigonometry Examples

$\cot (90 ° - θ)$

Step 1

Replace $\cot (90 ° - θ)$ with an equivalent expression $\frac{1}{\tan (90 ° - θ)}$ using the fundamental identities.

$\frac{1}{\tan (90 ° - θ)}$

Step 2

Simplify.

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Step 2.1

Rewrite $\tan (90 ° - θ)$ in terms of sines and cosines.

$\frac{1}{\frac{\sin (90 ° - θ)}{\cos (90 ° - θ)}}$

Step 2.2

Multiply by the reciprocal of the fraction to divide by $\frac{\sin (90 ° - θ)}{\cos (90 ° - θ)}$ .

$\frac{\cos (90 ° - θ)}{\sin (90 ° - θ)}$

Step 2.3

Convert from $\frac{\cos (90 ° - θ)}{\sin (90 ° - θ)}$ to $\cot (90 ° - θ)$ .

$\cot (90 ° - θ)$