SIX TRIGNOMETRIC RATIOS SIN COS TAN SIN = SINE COS = COSINE TAN = TANGENT COT = COTANGENT SEC = SECANT CSC = COSECANT OSCAR AND OSWALD HAVE HAD ALGEBRA CSC SEC COT •A = ADJACENT O= OPPOSITE H = HYPOTENUSE

(x,y) r y sin = tan = sec = cos = cot = csc = x

Signs of Trigonometric Functions Quad. II Quad. I sin & csc + sin & csc + cos & sec - cos & sec + tan & cot - tan & cot + sin & csc - sin & csc - cos & sec - cos & sec + tan & cot + tan & cot - Quad. III Quad. IV

SOH CAH TOA B c a A C b SIN = COS = TAN = Sin A = Sin b = Cos a = cos b = Tan a = tan b = Cot a = cot b = Sec a = sec b = Csc a = csc b = B c a A C b

cos = sin = cot = tan = csc = sec = Ex. Find the values of the 6 trig functions of an angle In standard position if the given point lies on the Terminal side: (-1, 5) Draw a picture. Use Pythagorean Theorem to find The missing side (r=hypotenuse) (-1,5) 2. Set up the 6 trig ratios. cos = cot = csc = sin = tan = sec =