Question

2cos2A=√3, A is an
acute angle, find sin 3 A​

Answer 1

Answer:

Sin 3A = 1/√2

Step-by-step explanation:

We have,

2Cos 2A = √3

Now,

2Cos 2A = √3

Cos 2A = √3/2

But we know that,

Cos 30° = Cos 2A

Since the angles are equal,

2A = 30°

A = 30°/2

A = 15°

Now, we must find,

Sin 3A

So,

Sin 3A = Sin 3(15°)

Sin 45° = 1/√2

Hence,

Sin 3A = 1/√2

Hope it helped and believing you understood it...All the best