Question

If cot 30⁰ = x/30 , find the value of ‘x’ correct to 2 decimal places​

Answer 1

Answer: Given  : Cot 3θ  = Cot(30° + θ)

cot 3theta cot(30° + theta)​

To Find : θ

Solution:

Cot 3θ  = Cot(30° + θ)

cot has period of π  = 180°

3θ  = 30° + θ  ± n(180°)

=> 2θ = 30°   + n(180°)

=> θ = 15°    ± n(90°)

θ = 15°    ±  n(90°)

value of theta = 15°    ±  n(90°)

Answer 2

Step-by-step explanation:

cot30°=1/tan30°

tan30°=1/√3

cot30°=√3

cot30°=1.51

x/30=1.512

x=1.512×30=45.36