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5 Written questions

5 Multiple choice questions

  1. 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
  2. trigonometric ratio: abbreviation tan; the tangent of an acute angle in a right triangle equals the side opposite the angle divided by the adjacent side (tan A = opp/adj)
  3. Gives 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.
  4. The angle formed when looking up from the horizontal
  5. In a right triangle with legs a and b and hypotenuse c, a^2 + b^2 = c^2

5 True/False questions

  1. SOH CAH TOAtrigonometric ratio: abbreviation tan; the tangent of an acute angle in a right triangle equals the side opposite the angle divided by the adjacent side (tan A = opp/adj)

          

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

          

  3. Obtuse triangleIn a triangle with shorter sides a and b and longer side c, if a^2 + b^2 > c^2, then the triangle is acute

          

  4. 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 acute

          

  5. 45-45-90 right triangleSpecial right triangle: hypotenuse = shorter side 2; longer side = shorter side sqrt(3)

          

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