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prove tan2(x)−1sec2(x)=tan(x)−cot(x)tan(x)+cot(x)
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tan2(x)−1sec2(x)=tan(x)−cot(x)tan(x)+cot(x)
قم بالعمل على الطرف الأيسر
tan2(x)−1sec2(x)
sin,cos:عبّر بواسطة
=−cos2(x)+sin2(x)
قم بالعمل على الطرف الأيمن
tan(x)−cot(x)tan(x)+cot(x)
sin,cos:عبّر بواسطة
=−cos2(x)+sin2(x)cos2(x)+sin2(x)
Rewrite using trig identities
=−cos2(x)+sin2(x)
أظهرنا بأنّ الطرفين من الممكن أن تكون لهما نفس الصورة