Guest

How many distinct values of ๐‘ฅ satisfy the equation sin(๐‘ฅ) = ๐‘ฅ/2, where ๐‘ฅ is in radians? (A) 1 (B) 2 (C) 3 (D) 4 or more

How many distinct values of ๐‘ฅ satisfy the equation sin(๐‘ฅ) = ๐‘ฅ/2, where ๐‘ฅ is in radians? (A) 1 (B) 2 (C) 3 (D) 4 or moreย 

Question Image
Grade:12

2 Answers

Riddhish Bhalodia
askIITians Faculty 434 Points
8 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
7 years ago
they give sin(x)=x/2ย ย ย  0 is the one solution because sin(0)=0ย  so one solution exist for this question if you take pi/2ย  or pi/4 you have to p[rove that sin pi/2=pi/4ย  or sin pi/8=pi/16ย  which is greater than one
ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย ย 

Think You Can Provide A Better Answer ?

ASK QUESTION

Get your questions answered by the expert for free