What are the zeros of the function f(x)=sinx+cosx found in interval (0,pi)?

Expert Answers

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We have to find the zeros of f(x) = sin x + cos x

f(x) = sin x + cos x = 0

=> sin x = -cos x

=> tan x = -1

x = arc tan (-1)

In the interval (0, pi) , x = -pi/4 + pi = 3*pi/4

The required value is x = 3*pi/4

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