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Sir, this is a broader and clearer image than the former one. Please give me the solutions.
The 35th question demands for the expansion of cos 5x:cos 5x = cos(3x + 2x) We, can use the formula :cos(a+b)=cos(a)cos(b) – sin(a)sin(b) cos(3x + 2x)=cos3xcos2x – sin2xsin3x For, further expansion we can use below given formulas: cos3x=4cos3x – 3cosx cos2x=2cos2x – 1 sin3x=3sinx – 4sin3x sinx=2sinxcosx sin2x=1 – cos2xPlease subsitute the values using these formulas: cos 5x=16cos5x – 20cos3x + 5cosx By, comparing the main equation to derived equation we get : a = 16, b= – 20, c=5 So, a+b+c=16 – 20 +5 =1
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