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SIX TRIGNOMETRIC RATIOS

SIX TRIGNOMETRIC RATIOS. SIN. COS. TAN. SIN = SINE COS = COSINE TAN = TANGENT COT = COTANGENT SEC = SECANT CSC = COSECANT. O SWALD. O SCAR. A ND. H AVE. H AD. A LGEBRA. CSC. SEC. COT. •A = ADJACENT O= OPPOSITE H = HYPOTENUSE. (x,y). r. y. sin = tan = sec =. cos =

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SIX TRIGNOMETRIC RATIOS

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

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

  3. 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

  4. SOH CAH TOA SIN = TAN = COS = 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

  5. 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 =

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