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CrossFit415
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Sin pi/12= 1/4 (√6 - √2) ?
I took sin pi/12 = sin (4pi / 12 - 3pi/12) = sin (pi/3 - pi/4)
Did I do this right?
I took sin pi/12 = sin (4pi / 12 - 3pi/12) = sin (pi/3 - pi/4)
Did I do this right?
Last edited:
The equation is asking to solve for the value of x that satisfies the equation Sin x = 1/4 (√6 - √2).
The value of pi/12 in degrees is approximately 15 degrees.
To solve for x, we can use trigonometric identities and algebraic manipulations. First, we can simplify the right side of the equation by combining the square root terms and dividing by 4. Then, using the sine of a difference identity, we can express the left side as Sin(pi/6)Cos(pi/12) - Cos(pi/6)Sin(pi/12). Finally, using the values of Sin(pi/6) = 1/2 and Cos(pi/6) = √3/2, we can solve for x.
Simplifying the equation helps to reduce the complexity of the problem and makes it easier to identify the appropriate trigonometric identities to use. It also makes the solution process more efficient.
Yes, there are other methods such as using a calculator or software program to find the approximate value of x, or using the unit circle to find the exact value of x. However, using trigonometric identities and algebraic manipulations is the most efficient and reliable method to solve this equation.