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Explore (1/2) Question 19 of the Gaokao Math exam 2025 10.7.2025 | Claire & Bruce with 3,999 views, 129 likes, and 6 comments. Experience the impact of this video content that has captured audience attention.

I'll do more explaination about sign function. First the proof on algebra works, of course, now let's disscusion its graph! When sin(a) is positive, y=a+theta, the angle a+theta rotates with unclockwise from angle a(the contrapositive situation: {a-theta} rotates with clockwise), and the sign founction would not rotates on the oppsite direction! That only show us the half situation, what happens? Because the 2 directions are in the same system(if one satisfies, the other does not). So when cosy=cosacostheta=costheta? The answer is when a and theta both equals 0. Of course in this quesion, it limits the domain of theta (0,pi), but it does not matter. Since using cosa divids cosacostheta(or substituting cosa with 1), then we get the costheta,it leads us to the aim: cosy=cosacostheta=costheta.

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