MAT 202 Useful File, Spring 2011

American University of Science and Technology · Calculus II · 1 page · Ms. Hiba Othman

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MAT 202 Useful File, Spring 2011, page 1

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Trigonometric Formulas cos2x + sin2x = 1 cos2x = tan x 1 1 2  sin2x = tan x 1 x tan 2 2  cos(a – b) = cosa.cosb + sina.sinb cos(a + b) = cosa.cosb – sina.sinb                                    tan a 1 tan a 1 cos2a 2 cos2a 1 a sin 2 cos2a 1 a cos 2sin a 1 cos2a 1 a 2cos cos2a sin a cos a 2a cos 2 2 2 2 2 2 2 2 sin(a – b) = sina.cosb  sinb.cosa sin(a + b) = sina.cosb + sinb.cosa        tan a 1 2 tan a 2a sin 2sin .a cosa 2a sin 2 tan(a – b) = tan .a tan b 1 tan b tan a   tan(a + b) = tan .a tan b 1 tan b tan a    tan2a = tan a 1 tan a 2 2  cosa.cosb = 2 1 [cos(a – b) + cos(a + b)]  cosp + cosq = 2cos 2 p  q .cos 2 p  q sina.sinb = 2 1 [cos(a – b)  cos(a + b)]  cosp – cosq =  2sin 2 p  q .sin 2 p  q sina.cosb = 2 1 [sin(a – b) + sin(a + b)]               2 q .sin p 2 q sinq 2cosp sinp 2 q .cos p 2 q 2sin p sinq p sin sin3a = 3sina – 4sin3a and cos3a = 4cos3a – 3cosa                  tan ) tan( sin ) sin( cos ) cos( ,                     tan ) tan( sin ) sin( cos ) cos( ,                     tan ) tan( sin ) sin( cos ) cos( ,                        cot ) 2 tan( cos ) 2 sin( sin ) 2 cos(