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Popular >

simplify tan(2x)cot(pi/5-x)

Solution

simplify

tan (2 x) cot (\frac{π}{5} - x)

Solution

\frac{tan ( 2 x ) ( ( 5 + 1 ) cos ( x ) + 2 5 - 5 sin ( x ) ) ( 2 5 - 5 cos ( x ) + ( 5 + 1 ) sin ( x ) )}{10 cos ^{2} ( x ) - 2 5 cos ^{2} ( x ) - 6 sin ^{2} ( x ) - 2 5 sin ^{2} ( x )}

Solution steps

tan (2 x) cot (\frac{π}{5} - x)

Rewrite using trig identities

= tan (2 x) \frac{( ( 5 + 1 ) cos ( x ) + 2 5 - 5 sin ( x ) ) ( 2 5 - 5 cos ( x ) + ( 5 + 1 ) sin ( x ) )}{10 cos ^{2} ( x ) - 2 5 cos ^{2} ( x ) - 6 sin ^{2} ( x ) - 2 5 sin ^{2} ( x )}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( ( 5 + 1 ) cos ( x ) + 2 5 - 5 sin ( x ) ) ( 2 5 - 5 cos ( x ) + ( 5 + 1 ) sin ( x ) ) tan ( 2 x )}{10 cos ^{2} ( x ) - 2 5 cos ^{2} ( x ) - 6 sin ^{2} ( x ) - 2 5 sin ^{2} ( x )}

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Frequently Asked Questions (FAQ)

What is tan(2x)cot(pi/5-x) ?
The solution to tan(2x)cot(pi/5-x) is