# If cos (θ + <span

Given,

cos (θ + ϕ) = m cos (θ – ϕ)

To prove:

cos (θ + ϕ) = m cos (θ – ϕ)

Applying componendo – dividend, we get

From transformation formula, we know that –

cos(A+B) + cos(A – B) = 2cosAcosB

cos(A – B) – cos(A + B) = 2sinA sinB

{ (cos θ)/(sin θ) = cot θ }

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