Question

If tan theta + cot theta is equal to 5 then tan cube theta + cot cube theta is equal to

Answer 1

Step-by-step explanation:

tan + cot = 5

cube both sides

tan ^ 3 + cot ^3 + 3*tan *cot ( tan + cot) = 125

tan ^3 + cot ^3 + 3 (5) = 125 ( tan *cot = 1)

tan ^3 + cot ^3 = 125-15= 110

using the property ( a+b) ^3 = a^3 + b^3 + 3ab ( a+b)