All trigonometric formulas pdf 2025

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The Sine Rule can be used in any triangle (not just right-angled triangles) where a side and its opposite angle are known. You will only ever need two parts of the Sine Rule formula, not all three.
Sum and Difference of Angles Trigonometric Identities sin(\u03b1+\u03b2)=sin(\u03b1). cos(\u03b2)+cos(\u03b1). sin(\u03b2) sin(\u03b1\u2013\u03b2)=sin\u03b1. cos\u03b2\u2013cos\u03b1. sin\u03b2 cos(\u03b1+\u03b2)=cos\u03b1. cos\u03b2\u2013sin\u03b1. sin\u03b2 cos(\u03b1\u2013\u03b2)=cos\u03b1. cos\u03b2+sin\u03b1. sin\u03b2 tan. \u2061 ( \u03b1 + \u03b2 ) = tan \u2061 \u2061 \u03b2 1 \u2013 tan \u2061 \u03b1 . tan. \u2061 \u03b2 tan. \u2061 ( \u03b1 \u2013 \u03b2 ) = tan \u2061 \u2061 \u03b2 1 + tan \u2061 \u03b1 . tan. \u2061
Basically, Trigonometry is defined with six main ratios, namely Sine(sin), Cosine(cos), Tangent(tan), Cosecant(cosec), Secant(sec) and Cotangent(cot).

People also ask

There are three primary trigonometric ratios sin, cos, and tan. The three other trigonometric ratios sec, cosec, and cot in trigonometry are the reciprocals of sin, cos, and tan respectively. How are these trigonometric ratios (sin, cos, tan, sec, cosec, and cot) connected with each other?
Right Triangle Sine, Cosine and Tangent are the main functions used in Trigonometry and are based on a Right-Angled Triangle.
Trigonometry Table Angles (In Degrees)0°45°sin01/\u221a2cos11/\u221a2tan01cot\u221e13 more rows
Trigonometry Table Degrees0°45°Cos \u03b811/\u221a2Tan \u03b801Cot \u03b8\u221e1Sec \u03b81\u221a23 more rows
cos(A+B) cos(A\u2013B)=cos2A\u2013sin2B=cos2B\u2013sin2A. sin(A+B) sin(A\u2013B) = sin2A\u2013sin2B=cos2B\u2013cos2A....Formulas for twice of the angles: sin2A = 2sinA cosA = [2tan A /(1+tan2A)] cos2A = cos2A\u2013sin2A = 1\u20132sin2A = 2cos2A\u20131= [(1-tan2A)/(1+tan2A)] tan 2A = (2 tan A)/(1-tan2A)

trigonometry all formula pdf