Question

6 sin 20° - 8 sin? 20º =
2 this my question please help me do it correct and fast if you know answer just answer ​

Answer 1

Answer:

Greetings! Thanks for the question :)

It's a question from trigonometry. We are going to evaluate the given expression by using identities.

We know that,

sin3x = 3sinx - 4sin³x.

Now,

6 sin 20° - 8 sin³ 20°

= 2 ( 3 sin 20° - 4 sin³ 20° )

= 2 ( sin (3 * 20)° )

= 2 ( sin60° )

= 2 ( √3 / 2 )

= √3 .

Therefore, 6 sin 20° - 8 sin³ 20° = √3 .