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Trigonometry Fundamental Formulas and Identities

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이 집합의 용어 (11)

  • Cosine of sum of angles formula

    Cos(a + b) = cos a × cos b - sin a × sin b

  • Cosine of difference of angles formula

    Cos(a - b) = cos a × cos b + sin a × sin b

  • Sine double angle formula

    sin 2a = 2 sin a × cos a

  • Cosine double angle formula

    cos 2a = cos² a - sin² a

  • Tangent of sum of angles formula

    tan(a + b) = (tan a + tan b) / (1 - tan a × tan b)

  • Fundamental Pythagorean identity

    sin² x + cos² x = 1

  • Secant in terms of cosine

    sec x = 1 / cos x

  • Cosecant in terms of sine

    csc x = 1 / sin x

  • Cotangent in terms of sine and cosine

    cot x = cos x / sin x

  • Tangent in terms of sine and cosine

    tan x = sin x / cos x

  • Identity relating tangent and secant

    1 + tan² x = sec² x