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Trigonometry Serenade: Love in Angles
2
8
Prompt
So we back in the class Got these angles to find I need to know the sides, yeah Got my calculator out With these triangles around I need some trig to solve it right Sine is opposite over hypotenuse Cosine's adjacent over hypotenuse Tangent's opposite over adjacent, oh These ratios are the key to my success Math got us loving trig tonight And we'll solve these problems right SOH-CAH-TOA is our guide Baby tonight Math got us loving trig tonight These angles we'll define With sin, cos, tan we'll shine Baby tonight Let me show you how To find a missing side When you know an angle, yeah Take sine of thirty degrees Multiply by hypotenuse And you'll find the opposite side Need to find an angle? Listen to me Take inverse sine, cosine, or tangent, see First calculate the ratio, then press the key And the angle will appear like magic, yeah Math got us loving trig tonight And we'll solve these problems right SOH-CAH-TOA is our guide Baby tonight Math got us loving trig tonight These angles we'll define With sin, cos, tan we'll shine Baby tonight Law of Sines, Law of Cosines! For any triangle, not just right ones Sine of angle A over side a Equals sine of angle B over side b Equals sine of angle C over side c When you know two sides and the angle between Law of Cosines is the perfect routine c² = a² + b² - 2ab × cosine C Real-world applications everywhere you see Architecture, navigation, engineering That's why we're all loving trigonometry! Math got us loving trig tonight And we'll solve these problems right SOH-CAH-TOA is our guide Baby tonight Math got us loving trig tonight These angles we'll define With sin, cos, tan we'll shine Baby tonight So now you know why trig matters in your life From building bridges to satellite flights The patterns in waves and the world all around In trig the answers can always be found Math got us loving trig!
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