Can someone explain me the reason for the underlined step.

Can someone explain me the reason for the underlined step. 60 Example 18 Prove that 2 SOL LHS= cos¯l (x) + cos¯ 2 2 Let cos¯ x = x cos CL Then, LHS = + cos¯l • cos— + — All India 2014C 1 — COS CL = + COS = + COS cos— cosa + sin —sin 3 —a cos 3 2 cos(A — B) = COSA COSB + sin A sin . = RHS 3 3 Problems Based on Finding the Value of x In this type of problem, an equation formed

we can write x/2 as 
 = x. 1/2
 = cos α . cos π/3       (since x= cos α and 1/2 = cos π/3)
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