Question

Find the value of x in each of the following:(i) cosec 3x =( cot 30° + cot 60°)/(1 + cot 30° cot 60°)

Answer 1

20

Step-by-step explanation:

cosec3x = (√3 + 1/√3)/(1 + √3 ×1/√3)

= 4/√3 /2 = 4/√3 * 1/2 = 2 /√3

cosec 3x = cosec 60°

3x = 60 => x = 20