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JEE Advanced Mathematics question

MathematicsTrigonometric Ratio and IdentitiesJEE Advanced

If then

Answer: (A),(B),(C)

Solution

Using :

x+(x+Missing argument for \tfrac\tfrac3)=1+Missing argument for \tfrac\tfrac12[2x+(2x+Missing argument for \tfrac\tfrac{2π}3)]=1+Missing argument for \tfrac\tfrac12(2x+Missing argument for \tfrac\tfrac3).

Also . Subtracting,

f(x)=1-Missing argument for \tfrac\tfrac14=Missing argument for \tfrac\tfrac34

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Question ID VK-109188