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Trigonometry Memory Aid To know Sin Angle = opp Hyp Oh Hell Cos Angle = adj Hyp Another Hour Tan Angle= opp Adj Of Algebra Opp=opposite side to angle Adj =adjacent side to angle Hyp= hypotenuse =opposite the right angle/slanted side Use Sin, Cos, Tan and Pythagoras Theorem for right angled triangles Use cos to find x as you have the hyp and you want adj to the angle Cos Angle = adj Hyp cos 60° = x 10 x = 10(cos 60°) x = 5 pick Tan to solve because you have the opp and the adj to the angle Tan Angle= opp Adj Tan A = 4 4 A = tan−1 1 A = 45° use 2ndf Tan(Tan-1) to get the angle Pythagoras theorem H h2=a2+b2 A hyp2 = other 2 sides squared hyp is always the slanted side the one opposite the box or right angle b Example X is an acute angle such that the Sin X = ½. Find the Cos X? Draw out triangle 1st and put in the opp=1 and hyp=2 to the angle X. 1 h2=a2+b2 2 22 = 12 +b2 4 = 1 + b2 4-1 = b2 3 = b2 √3 = b X b Cos X = adj hyp = √3 2 Also Tan X = opp = 1 adj √3 Example of Pythagoras theorem hyp is always opposite right angle x2 = 82 + 62 Get x 1st x2 = 64 + 36 x2 = 100 Square root 100 to get rid of square x = 10 262 = 102 + y2 when you get x sub back in to find y y2 = 576 Square root 576 to get rid of square y = 24