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Height and Distance

From this topic, usually, questions from heights and distances is asked. Sometimes, it has been observed that straight forward questions from trigonometric ratios such as questions based on quadrants, small simplification questions, etc. have also been asked in addition to heights and distances. Concepts of trigonometry are applicable if and only if the triangle is a right angled triangle.

• π radian = 180 degrees
• sin θ = Perpendicular / Hypotenuse
  cos θ = Base / Hypotenuse
  tan θ = Perpendicular / Base
• In the first quadrant, all trigonometric ratios (sin, cos, tan, cosec, sec, cot) are positive.
  and In second quadrant, only sin and cosec are positive.
  In third quadrant, only tan and cot are positive.
  In fourth quadrant, only cos and sec are positive.
• sin²θ + cos²θ = 1
  1 + tan²θ = sec²θ
  1 + cot²θ = cosec²θ
• sin(- θ) = – sin θ
  cos(- θ) = cos θ
  tan(- θ) = – tan θ
  cosec(- θ) = – cosec θ
  sec(- θ) = sec θ
  cot(- θ) = – cot θHeights and Distances Problems on height and distances are simply word problems that use trigonometry.

[WpProQuiz 114]