Question

Find the distance of the points (a sinø,a cosø) from the origin

Answer 1

Rule :

    We know that the distance between the two points (a₁, a₂) and (b₁, b₂) is

    = √{(a₁ - b₁)² + (a₂ - b₂)²} units

Solution :

Thus, the distance between the points

(a sinø, a cosø) and the origin (0, 0) be

    = √{(a sinø - 0)² + (a cosø- 0)²} units

    = √(a² sin²ø + a² cos²ø) units

    = √{a² (sin²ø + cos²ø)} units

    = √(a²) units [∵ sin²A + cos²A = 1 ]

    = a units

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