Heights & Distances
In this topic, we deal with scenarios where a right-angled triangle is formed, with height on one side and distance on the other side. The third side is hypotenuse.
Thus, basic trigonometry and right-angled triangle geometry are needed to solve these questions.
Trigonometric Formulae:
sinθ = O/H cosθ = H/O
cosecθ = A/H secθ = H/A
tanθ = O/A cotθ = A/O
Trigonometric Identities:
sin2θ + cos2θ = 1
1 + tan2θ = sec2θ
1 + cot2θ = cosec2θ
Trigonometric Values
θ | 0o | 30o | 45o | 60o | 90o |
sin θ | 0 | 1/2 | 1/√2 | √3/2 | 1 |
cos θ | 1 | √3/2 | 1/√2 | 1/2 | 0 |
tan θ | 0 | 1/√3 | 1 | √3 | undefined |