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Special Right Triangles and using the calculator to get values First, Special Right Triangle: 45-45 It is an Isosceles triangle, so the base angles must be congruent and the sides opposite the base angles must be congruent. Let’s get the 6 TRIG values for a 45 degree angle. First, Special Right Triangle: 45-45 First, Special Right Triangle: 45-45 First, Special Right Triangle: You can think of it in terms of RADIANS, too. Special Right Triangle: 30-60 Not drawn to scale. Let’s get the 6 TRIG values for a 60 degree angle. Special Right Triangle: 30-60 Not drawn to scale. First, Special Right Triangle: 30-60 Not drawn to scale. Now, let’s get the 6 TRIG values for a 30 degree angle. First, Special Right Triangle: 30-60 Not drawn to scale. Let’s get the 6 TRIG values for a 30 degree angle. First, Special Right Triangle: Now, in terms of RADIANS. Not drawn to scale. First, Special Right Triangle: Now, in terms of RADIANS. Not drawn to scale. Using the calculator to find 1) Trig Ratios and 2) Angles 1. Make sure you are in the proper mode: Degree or Radian Now, change your calculator back and forth between the two modes. Make sure you are in Degree mode!! Using the calculator to find 1) Trig Ratios and 2) Angles Make sure you are in Degree mode!! ⎛ 25 ⎞ ⎛ 18 ⎞ tan 75 25 18 = 75 + ⎜ ⎟ + ⎜ ≈ 75.4217 ⎝ 60 ⎠ ⎝ 3600 ⎟⎠ ' '' Using the calculator to find 1) Trig Ratios and 2) Angles Make sure you are in RADIAN mode!! π cot = 8 1 ⎛π⎞ tan ⎜ ⎟ ⎝ 8⎠ There aren’t SECANT, COSECANT,and COTANGENT buttons on the calculator. How TRIG functions work …………….. If you know the ratio of the sides and want the angle then you use the INVERSE TRIG FUNCTION How INVERSE TRIG functions work …………….. Let’s look at a few other trig and inverse trig functions In RADIANS