Question

Sin ( arcos ✓2 /2 ) ×3 бали

Answer 1

=sin( pi/4)=v2/2..................

Answer 2

Let's break down the expression step by step:

1. arcos(sqrt(2)/2) - This part involves taking the arc cosine (inverse cosine) of the value sqrt(2)/2. The value sqrt(2)/2 represents the cosine of 45 degrees or π/4 radians.

2. sin(arcos(sqrt(2)/2)) - Now, we take the sine of the angle obtained in step 1. Since arcos(sqrt(2)/2) is equal to 45 degrees or π/4 radians, sin(arcos(sqrt(2)/2)) is equal to sin(π/4).

3. sin(π/4) - This is a well-known trigonometric value. The sine of π/4 (45 degrees) is equal to sqrt(2)/2.

4. Finally, sin(arcos(sqrt(2)/2)) × 3 - We multiply the result from step 3 (sqrt(2)/2) by 3:

   sin(arcos(sqrt(2)/2)) × 3 = (sqrt(2)/2) × 3 = 3 * (sqrt(2)/2) = 3 * sqrt(2) / 2

The value of sin(arcos(sqrt(2)/2)) × 3 is 3 * sqrt(2) / 2, which is approximately 2.121 bali.