Question

Срочнооооо!!!!!! 8cos(2arcsin1/4)=

Answer 1

Ответ:

7

Пошаговое объяснение: формула косинуса двойного угла

Answer 2

To solve the expression 8cos(2arcsin(1/4)), we can use trigonometric identities. Let's break it down step by step:

Step 1: Find the value of arcsin(1/4). Step 2: Use the value obtained in Step 1 to find the value of 2arcsin(1/4). Step 3: Finally, find the value of cos(2arcsin(1/4)).

Step 1: Find the value of arcsin(1/4). arcsin(1/4) represents the angle whose sine is 1/4. Using a calculator or trigonometric tables, we find that arcsin(1/4) is approximately 14.4775 degrees or 0.2531 radians.

Step 2: Find the value of 2arcsin(1/4). 2arcsin(1/4) = 2 * 0.2531 = 0.5062 radians.

Step 3: Find the value of cos(2arcsin(1/4)). cos(0.5062) is approximately 0.8776.

So, 8cos(2arcsin(1/4)) = 8 * 0.8776 = 7.0208.

Therefore, the final answer is approximately 7.0208.