Question

Find the distance between two points A(0sin theta,0)B(0,cos theta)

Answer 1

Let the given points be P(a cos∅,0) and Q(0,a sin∅)

To find

Length of PQ

Using Distance Formula,

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PQ = √( - a cos∅)² + (asin∅)²

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→ PQ = √ a²cos²∅ + a²sin²∅

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→ PQ = √a²(sin²∅ + cos²∅)

But sin²∅ + cos²∅ = 1

→ PQ = √a²

→ PQ = a units

Thus,the distance between P and Q is "a" units