Prove that: `sin(n+1)A sin(n+2)A+cos(n+1)A cos(n+2)A=cos A`

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This is the Solution of Question From RD SHARMA book of CLASS 11 CHAPTER TRIGONOMETRIC RATIOS AND IDENTITIES This Question is also available in R S AGGARWAL book of CLASS 11 You can Find Solution of All Question From RD SHARMA and R S AGGARWAL book from class 6-12 on our app DOUBTNUT for Free

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==== QUESTION TEXT ====

Prove that: `sin(n+1)A sin(n+2)A+cos(n+1)A cos(n+2)A=cos A`

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Mam but why are you not solving sin further ....can anyone explain

doubletrouble