Trigonometry Examples

$(4 \tan (w) + 1) {(2 \cot (w))}^{2}$

Step 1

Simplify the expression.

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Step 1.1

Apply the product rule to $2 \cot (w)$ .

$(4 \tan (w) + 1) (2^{2} \cot^{2} (w))$

Step 1.2

Raise $2$ to the power of $2$ .

$(4 \tan (w) + 1) (4 \cot^{2} (w))$

Step 2

Apply the distributive property.

$4 \tan (w) (4 \cot^{2} (w)) + 1 (4 \cot^{2} (w))$

Step 3

Multiply.

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Step 3.1

Multiply $4$ by $4$ .

$16 \tan (w) \cot^{2} (w) + 1 (4 \cot^{2} (w))$

Step 3.2

Multiply $4 \cot^{2} (w)$ by $1$ .

$16 \tan (w) \cot^{2} (w) + 4 \cot^{2} (w)$