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please give trignometric identities? |
tan t = sin t / cos t cot t = 1 / tan t = cos t / sin sec t = 1/ cos t cosec t = 1/ sin t The Pythagorean formula for sines and cosines. sin2 t + cos2 t = 1 Identities expressing trig functions in terms of their complements cos t = sin( pi/2 – t) sin t = cos( pi/2 – t) cot t = tan( pi/2 – t) tan t = cot( pi/2 – t) csc t = sec( pi/2 – t) sec t = csc( pi/2 – t) Periodicity of trig functions. Sine, cosine, secant, and cosecant have period 2 pi while tangent and cotangent have period pi. sin (t + 2 pi) = sin t cos (t + 2 pi) = cos t tan (t + pi) = tan t Identities for negative angles. Sine, tangent, cotangent, and cosecant are odd functions while cosine and secant are even functions. sin –t = –sin t cos –t = cos t tan –t = –tan t Sum formulas for sine and cosine sin (s + t) = sin s cos t + cos s sin t cos (s + t) = cos s cos t – sin s sin t Double angle formulas for sine and cosine sin 2t = 2 sin t cos t cos 2t = cos2 t – sin2 t = 2 cos2 t – 1 = 1 – 2 sin2 t |