Question

if cot 2theta= tan 4theta , where 2theta and 4 theta are acute angles , find the value of sin 2theta​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Cot2theta=tan4theta

=> tan(90°-2theta)=tan 4theta

=> 2 theta+4theta=90°

=> 6theta=90°

=> theta=15°

Now,

Sin 2Theta=sin 3*15°

=> sin 2theta = sin 30°

So,

$\: sin \: 2theta = \frac{1}{2}$