Sin X Sin X. sin (2x) = 2 sin x cos x cos (2x) = cos ^2 (x) sin ^2 (x) = 2 cos ^2 (x) 1 = 1 2 sin ^2 (x) tan (2x) = 2 tan (x) / (1 tan ^2 (x)) sin ^2 (x) = 1/2 1/2 cos (2x) cos ^2 (x) = 1/2 + 1/2 cos (2x) sin x sin y = 2 sin ( (x y)/2 ) cos ( (x + y)/2 ) cos x cos y = 2 sin ( (x y)/2 ) sin ( (x + y)/2 ) Trig Table of Common Angles angle.
Transcript Misc 7 Integrate the function sin????/sin(???? − ????) Let I = ∫1 sin????/sin(???? − ????) ???????? Put t = ???? − ???? Differentiating ???????????????? ????????/???????? = ????(???? − ????)/???????? ????????/???????? = 1 ???????? = ???????? Therefore ∫1 〖sin 〗(???? + ????)/sin???? ???????? = ∫1 (sin???? cos???? + cos???? sin????.
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sin (x) Wolfram|Alpha Volume of a cylinder? Piece of cake Unlock StepbyStep Natural Language Math Input.
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sin(x+ y) = sinxcosy+ cosxsiny sin(x y) = sinxcosy cosxsiny cos(x+ y) = cosxcosy sinxsiny cos(x y) = cosxcosy+ sinxsiny tan(x+ y) = tanx+tany 1 tanxtany tan(x y) = tanx tany 1+tanxtany HalfAngle Formulas sin 2 = q 1 cos 2 cos 2 = q 1+cos 2 tan 2 = q 1+cos tan 2 = 1 cosx sinx tan 2 = sin 1+cos DoubleAngle Formulas sin2 = 2sin cos cos2 = cos2 sin2 tan2 = 2tan 1 tan2 File Size 38KBPage Count 1.
Trigonometric Identities Miami
Use the power rule aman = am+n a m a n = a m + n to combine exponents sin(x)1+1 sin ( x) 1 + 1 Add 1 1 and 1 1 sin2(x) sin 2 ( x).
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Trigonometric Identities and Formulas
Trigonometric Functions of Acute Angles sin X = opp / hyp = a / c csc X = hyp / opp = c / a tan X = opp / adj = a / b cot X = adj / opp = b / a cos X = adj / hyp = b / c sec X = hyp / adj = c / b Trigonometric Functions of Arbitrary Angles sin X = b / r csc X = r / b tan X = b / a cot X = a / b cos X = a / r sec X = r / a Special Triangles Special triangles may be used to find trigonometric functions of special angles 30 45 and 60 degress Sine and Cosine Laws in Triangles In any triangle we have 1 The sine law sin A / a = sin B / b = sin C / c 2 The cosine laws a 2 = b 2 + c 2 2 b c cos A.