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Question

Consider the following statements :
1. If 3θ is an acute angle such that sin3θ=cos2θ, then the measurement of θ in radian equals to π10.
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 ?

A
1 only
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B
2 only
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C
Both 1 and 2
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D
Neither 1 nor 2
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Solution

The correct option is B 1 only
Statement 1-
sin3θ=cos2θ
sin3θ=sin(π22θ)
3θ=π22θ
5θ=π2
θ=π10
Statement 1 is true

Statement 2 is false,
One radian is the angle subtended at the circle by an arc of the same circle whose length is equal to the radius of that circle.

Only Statement 1 is true

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