19 tg117 * ctg 63

Assuming degrees: evaluate 19 · tan(117°) · cot(63°).

• tan(117°) = tan(180° − 63°) = −tan(63°)
• cot(63°) = 1 / tan(63°)

Thus tan(117°) · cot(63°) = (−tan(63°)) · (1 / tan(63°)) = −1

Therefore 19 · tan(117°) · cot(63°) = 19 · (−1) = −19.

Answer: −19.