BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter C, Problem 22E
To determine

To prove:

  sin(πx)=sinx

Expert Solution

Explanation of Solution

Given information:

Eq: sin(πx)=sinx

Formula Used:

The subtraction formula:

  sin(AB)=sinAcosBcosAsinB

Proof:

The equation is given as:

  sin(πx)=sinx

The left hand side of the eq. which should be give result as right hand side:

  sin(πx)=sin(π)cosxcos(π)sinxsin(πx)=(0)cosx(1)sinx[sin(π)=0,cos(π)=1]sin(πx)=0+sinxsin(πx)=sinx

Hence, proved.

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