Consider the following statements:

1.If 3θ is an acute angle such that sin 3θ = cos 2θ, then the measurement of θ in radian equals to π/10.

2.One radian is the angle subtended at the centre of a circle by an arc of the same circle whose length is equal to the diameter of that circle.

Which of the above statements is/are correct?

Mathematics 2014 NDA Mathematics 2014 NDA 2014

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