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 21E
To determine

To prove:

  sin(π2+x)=cosx

Expert Solution

Explanation of Solution

Given information:

Eq: sin(π2+x)=cosx

Formula Used:

The addition formula:

  sin(A+B)=sinAcosB+cosAsinB

Proof:

The equation is given as:

  sin(π2+x)=cosx

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

  sin(π2+x)=sin(π2)cosx+cos(π2)sinxsin(π2+x)=(1)cosx+(0)sinx[sin(π2)=1,cos(π2)=0]sin(π2+x)=cosx+0sin(π2+x)=cosx

Hence, proved.

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