Question

Can anyone pls answer this ???

Answer 1

√3tan2theta=1

tan2theta=1/√3

tan2theta=tan30°

2theta=30°

theta=15°

cot3theta

cot3(15°)

cot45°

1

cot3theta=1

Hope this helpful to you

Answer 2

Answer:

hey here is your solution

pls mark it as brainliest

Step-by-step explanation:

$to \: find = \\ cot \: 3 θ \\ \\ here \: \\ \sqrt{3} .tan \: 2θ = 1 \\ \\ tan \: 2θ = \frac{1}{ \sqrt{ 3} } \\ \\ we \: know \: that \\ \\ tan \: 30= \frac{1}{ \sqrt{ 3 } } \\ \\ thus \: then \\ \\ tan \: 2θ = tan \: 30 \\ \\ 2θ = 30 \\ \\ θ = 15$

$so \: hence \: then \\ \\ cot \: 3θ = cot \: (3 \times 15) \\ = cot \: 45 \\ \\ = cot \: \frac{\pi}{4} \\ \\ now \: since \\ \\ cot \: \frac{\pi}{4} =cot \: 45 = 1 \\ \\ when \: θ = 15 \\ cot \: 3θ = 1$