Solve tana 2tan2a^4tan4a 8cot8a

Evaluate

tan (a) \times 2 tan (2 a^{4}) tan (4 a) \times 8 cot (8 a)

Multiply the terms

tan (a) tan (2 a^{4}) tan (4 a) cot (8 a) \times 2 \times 8

Multiply the terms

tan (a) tan (2 a^{4}) tan (4 a) cot (8 a) \times 16

Use the commutative property to reorder the terms

16 tan (a) tan (2 a^{4}) tan (4 a) cot (8 a)

Calculate

16 \times \frac{sin ( a )}{cos ( a )} \times tan (2 a^{4}) tan (4 a) cot (8 a)

Calculate

16 \times \frac{sin ( a )}{cos ( a )} \times \frac{sin ( 2 a ^{4} )}{cos ( 2 a ^{4} )} \times tan (4 a) cot (8 a)

Calculate

16 \times \frac{sin ( a )}{cos ( a )} \times \frac{sin ( 2 a ^{4} )}{cos ( 2 a ^{4} )} \times \frac{sin ( 4 a )}{cos ( 4 a )} \times cot (8 a)

Calculate

16 \times \frac{sin ( a )}{cos ( a )} \times \frac{sin ( 2 a ^{4} )}{cos ( 2 a ^{4} )} \times \frac{sin ( 4 a )}{cos ( 4 a )} \times \frac{cos ( 8 a )}{sin ( 8 a )}

Solution

\frac{16 sin ( a ) sin ( 2 a ^{4} ) sin ( 4 a ) cos ( 8 a )}{cos ( a ) cos ( 2 a ^{4} ) cos ( 4 a ) sin ( 8 a )}

Simplify the expression