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Find the distance between (sin θ, 0) and (0, cos θ).(a) 0(b) 1(c) \(\frac {4}{3} \)(d) \(\frac {3}{4} \)I have been asked this question by my school teacher while I was bunking the class.Origin of the question is Trigonometric Identities topic in section Trigonometry of Mathematics – Class 10

Answer»

Correct answer is (b) 1

Easy explanation: Let (X1, y1) = (sin θ, 0) and (x2, y2) = (0, COS θ)

Distance between TWO points = √((x2 – x1)^2 + (y2 – y1)^2)

= √((0 – sin θ)^2 + (cos θ – 0)^2)

= √(sin^2 θ + cos^2 θ)

= √1

= 1



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