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Trigonometry Notes Sine (sin) Sin(X) = Opposite Hypotenuse Example: Solve for x Cosine (cos) Cos(X) = Adjacent Hypotenuse Example: Solve for x cos(45) = 10 x Sin(30) = x = 8 Tangent (tan) Tan(X) = Opposite Adjacent Example: Solve for x Tan(55) = 200 x Easy way to SOHCAHTOA: remember SOH=sin=opp CAH=cos=adj TOA=tan=opp all this hyp hyp adj Things to remember: 1.) All angles in a RIGHT triangle will add up to 180o ? 52o 2.) A straight line equals 180o 48o ? 3.) Pythagorean Theorem H2 = A2 + O2 6 ? 8 Inverse Trig Functions What if we don’t know the angles? Then continue using SOHCAHTOA: 1.)We know the opp. & hyp. but not the angle: sin-1 (opp/hyp) = angle 2.) We know the adj. & hyp. but not the angle: cos-1 (adj/hyp) = angle 3.) We know the opp. & adj. but not the angle: tan-1 (opp/adj) = angle WE ARE JUST WORKING BACKWARDS!! How to use your calculator 1.) Make sure your calculator is in DEGREE MODE! Go to Mode and select Degrees and not Radians 2.) Use the inverse trig buttons. 3.) Example problem: What angle did Superman take off from the building? cos-1 (75/100) = 41.41o