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How many distinct values of 𝑥 satisfy the equation sin(𝑥) = 𝑥/2, where 𝑥 is in radians? (A) 1 (B) 2 (C) 3 (D) 4 or more

How many distinct values of 𝑥 satisfy the equation sin(𝑥) = 𝑥/2, where 𝑥 is in radians? (A) 1 (B) 2 (C) 3 (D) 4 or more 

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Grade:12

2 Answers

Riddhish Bhalodia
askIITians Faculty 434 Points
5 years ago
plot the graph of sin(x) and x/2.
From just observing it we can see that it intersects at 3 points and hence the answer is 3.
SREEKANTH
85 Points
5 years ago
they give sin(x)=x/2    0 is the one solution because sin(0)=0  so one solution exist for this question if you take pi/2  or pi/4 you have to p[rove that sin pi/2=pi/4  or sin pi/8=pi/16  which is greater than one
                                    

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