Question

* If cos330°=(√3/2) then prove that;
$sin165° = \frac{ \sqrt{3} - 1}{2 \sqrt{2} }$
Please solve this question.​

Answer 1

Step-by-step explanation:

Im sorry but knowing formula this is the answer I get

Answer 2

We can use the following equation to determine the value of 165 degrees;

1 - cos(2x)

_______     =     sin²x

     2

Here x = 165 degrees, as we want to prove the value of sin(165)

So that would make 2x = 165(2) = 330. We know cos(330) = √3/2. If we substitute;

1 - √3/2

_______     =    sin²x,

    2

sin = √(1 - √3/2)/2 = √((2 - √3)/4) = √2(√3 - 1) / 4

= √3 - 1 / 2√2 (Proved)