Question

Find the minimum value of 3 tan squared theta + 12 cot square theta

Answer 1

Answer:

We have

3 tan² theta + 12 cot² theta

Step-by-step explanation:

3 sin²theta /cos²theta+ 12 cos²theta/ sin²theta

3(sin²theta/ cos²theta + 4 cos²theta/sin²theta)

3(sin²theta + 4 cos²theta/ cos²theta.sin²theta )

3×(1 + 4 ) / cos²theta.sin²theta

15/cos²theta.sin²theta