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5 Written questions

5 Multiple choice questions

  1. Mnemonic device to help remember the trig ratios in a right triangle: sin = opp/hyp; cos = adj/hyp; tan = opp/adj
  2. In a triangle with shorter sides a and b and longer side c, if a^2 + b^2 < c^2, then the triangle is obtuse
  3. In a right triangle with legs a and b and hypotenuse c, a^2 + b^2 = c^2
  4. Means finding any missing angles and/or sides in a triangle. Methods to solve a right triangle include the Pythagorean theorem, triangle sum theorem (if given one acute angle in a right triangle, we can find the other by subtracting the acute angle's measure from 90), trig ratios, and inverse trig functions
  5. Ratios formed by the sides of a right triangle. Useful in finding the missing sides of a right triangle given an angle and a side. Trigonometric ratios include sine (sin), cosine (cos), and tangent (tan). Other ratios (not covered in this chapter) are: cosecant, secant, and cotangent

5 True/False questions

  1. 45-45-90 right triangleSpecial right triangle: hypotenuse = shorter side 2; longer side = shorter side sqrt(3)

          

  2. Pythagorean TripleIn a right triangle with legs a and b and hypotenuse c, a^2 + b^2 = c^2

          

  3. Acute triangleIn a triangle with shorter sides a and b and longer side c, if a^2 + b^2 < c^2, then the triangle is obtuse

          

  4. Inverse Trig RatioGives us the measure of the angle whose sin/cos/tan is a given ratio value. "Undoes" sin, cos, or tan. Written using a "-1" (looks like an exponent, but isn't). Also called "arc," such as arcsin, arccos, arctan. Example: arcsin(1/2) = 30 degrees. Useful in finding missing angle values in right triangles.

          

  5. cosinetrigonometric ratio: abbreviation sin; the sine of an acute angle in a right triangle equals the side opposite the angle divided by the hypotenuse (sin A = opp/hyp)