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Provide me all the trigonometric identities |
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Answer» Sine Function:sin(θ) = Opposite / HypotenuseCosine Function:cos(θ) = Adjacent / HypotenuseTangent Function:tan(θ) = Opposite / AdjacentFor a given angle θ each ratio stays the same no matter how BIG or small the triangle is When we divide Sine by COSINE we GET:sin(θ)cos(θ) = Opposite/HypotenuseAdjacent/Hypotenuse = OppositeAdjacent = tan(θ)So we can say:tan(θ) = sin(θ)cos(θ) That is our first Trigonometric Identity.Cosecant, Secant and CotangentWe can also divide "the other way around" (such as Adjacent/Opposite instead of Opposite/Adjacent):triangle showing Opposite, Adjacent and HypotenuseCosecant Function:csc(θ) = Hypotenuse / OppositeSecant Function:SEC(θ) = Hypotenuse / AdjacentCotangent Function:cot(θ) = Adjacent / Opposite Example: when Opposite = 2 and Hypotenuse = 4 thensin(θ) = 2/4, and csc(θ) = 4/2Because of all that we can say:sin(θ) = 1/csc(θ)cos(θ) = 1/sec(θ)tan(θ) = 1/cot(θ)And the other way around:csc(θ) = 1/sin(θ)sec(θ) = 1/cos(θ)cot(θ) = 1/tan(θ)And we also have:cot(θ) = cos(θ)/sin(θ)السوال هو ما معنى الرخصة الشرعية ؟ وما الحكمة م 30thx+follow=inbox ✌ follow me ❤ |
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