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Ask community Community Discussion Question: prove sinx/x=1 at x aproches to "0"
Reply Forum Index -> Trignometry originally posted here on IIT-JEE / AIEEE community   
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B.Vijay kumar reddy (0)

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prove sinx/x=1 at x aproches to "0"
    

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hemang (1555)

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yes in terms of radians.
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charanjit ghai (99)

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u seem to be new and hence ur knowledge is not enough to prove it 2 u(if u r not testing all of us)

but there r 3 ways by which i can help u

go for these if they seem to b helpful

1st

graph method

if u know graphs of both the curves i.e. y=sinx and y=x

then u can see that y=x is tangent to y= sinx at x=0

hence both of them have very close values at x=0

2nd

series mthod

sinx is just not a function but it is a series

sinx= x  - x^3/3! + x^5/5!....

so sinx/x= 1-x^2/3! + x^4/5!

hence wen we apply lim x tends to zero, sinx / x= 1

3rd

if u know L hopitals rule then u can prove it urself

all the best

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