Thursday, January 14, 2021

LAW OF TRIGONOMETRY

 This is the popular topic in Math.The theorem of pythagoreas ,law of cosine.sine and tangent.All the ratio are based on the right triangle.Let go to the first ratio 

  • Sine-by wikipedia is a trigonometric function of angle.The sine of acute angle is defined in the context of a right triangle for the specified angle,it os the ratio of the length of side that is opposite that angle to the length of longest side of the triangle(the hypoteuse).For the angle of Ө,the sine fuction is denoted simply as SinӨ .Commonly use to model phenomena such as sound and light waves,the position and velocity of harmonic,ossillators,sunlight intensity and day length and average temperature variation throughout the year.The basic concept of Sin X= opposite/hypoteuse and the ratio can be changed if the angle change in position for the same triangle.The are many formula must be remember regarding Sin.The theorem phythagorean trigonometric indentity said that Cos^2(Ө) + Sin ^2(Ө) are equal to 1 and Sin ^2(X)=(Sin(X))^2.So the other formula must be remember is 1).Sin^2(X)=1- Cos (X) 2). Cosec(X)=1/Sin(X). 3).Sin 2(X)=2 Sin X Cos X. 4).Sin^2(X)=1/2-1/2 Cos 2(X) 5).Sin 3(X)=3 Sin X-4 Sin^3(X).
  • Cosine-by meeriam webster is a trigonometric function that for an acute angle is the ratio between the leg adjacent to the angle when is consideration part of right angle and the hypotenuse.Cos(Ө)=adjacent/hypotenuse and the opposite and adjacent side can change when the position of angle are changed in the same triangle.Same with the sine,cosine also have a numberal formula have to remember.The important formula is Cos^2(Ө) + Sin^2(Ө) = 1.The other formula are 1).

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