The value of the expression (cos6θ + sin6θ - 1)(tan2θ + cot2θ + 2) is?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. -3.
Putting θ = 45°
= (cos6θ + sin6θ - 1)(tan2θ + cot2θ + 2)
= (1/8 + 1/8 - 1)(1 + 1 + 2)
= (-3/4)(4)
= -3