Question

Verify the identity.\\ $\cos \left(x + \frac{\pi}{4}\right) = \frac{\sqrt{2}}{2}(\cos x - \sin x)$\\ Write the left side in terms of a sum or difference formula for sine or cosine.\\ $\cos \left(x + \frac{\pi}{4}\right) = $

          Verify the identity.\\
$\cos \left(x + \frac{\pi}{4}\right) = \frac{\sqrt{2}}{2}(\cos x - \sin x)$\\
Write the left side in terms of a sum or difference formula for sine or cosine.\\
$\cos \left(x + \frac{\pi}{4}\right) = $

Verify the identity.

cos(x + (π)/(4)) = (√(2))/(2)(cos x - sin x)

Write the left side in terms of a sum or difference formula for sine or cosine.

cos(x + (π)/(4)) =

Added by Fernando P.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Kimberly Waterbury

01/01/2022

Step 1

Step 1: Use the sum formula for cosine: cos(a + b) = cos(a)cos(b) - sin(a)sin(b) Show more…

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Verify the identity. cos(x+(pi )/(4))=(sqrt(2))/(2)(cosx-sinx) Write the left side in terms of a sum or difference formula for sine or cosine. cos(x+(pi )/(4))= Verify the identity K /2 cos[x+2] Write the left side in terms of a sum or difference formula for sine or cosine cos[x+3] -