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CrossFit415
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cos^2(∏/4)
Why does this equal to 1/2? Doesn't Cos(Pi/4)= √2/2 ?
Thanks
Why does this equal to 1/2? Doesn't Cos(Pi/4)= √2/2 ?
Thanks
The value of cos^2(π/4) is equal to 1/2. This can also be written as 0.5 or 50%.
This is because the cosine function is equal to the adjacent side over the hypotenuse in a right triangle. In a 45-45-90 triangle, the adjacent and opposite sides are equal, so the cosine of π/4 (45 degrees) is equal to 1/√2. Squaring this value gives us 1/2.
Yes, using the Pythagorean theorem, we can see that in a 45-45-90 triangle, the hypotenuse (c) is equal to the square root of 2 times one of the sides (a or b). Therefore, the cosine of π/4 is equal to a/c, which is equal to 1/√2. Squaring this value gives us 1/2.
Yes, in a 45-45-90 triangle, the cosine of π/4 will always be equal to 1/2. However, in other types of triangles, the value of cos^2(π/4) may be different.
Cos^2(π/4) is equal to 1/2, which is also equal to the square of the sine function at π/4 or the tangent function at π/4. In general, the cosine function is related to the sine and tangent functions through the Pythagorean identity: cos^2(x) + sin^2(x) = 1.