1.

the number of solution of x in the interval [-π,π] of the equation (1 + cot267°)(1 + tan222°) = sec^2 x + cos^2x is​

Answer»

Questions: What are the number of solutions of cos (π√(x-4)) × cos (π√x) = 1 ?

ANSWER:

The ans is 1. That MEANS there are only one SOLUTION.

Step-by-step explanation:

Here, if product of two COS ( ) FACTION is 1 then both of them are 1.

So, √x-4 and √x should be even if COS ( ) is 1. To be even, X and x-4 also have to be perfect SQUARE. X and x-4 both perfect square is only possible when x is 4

That means this equation has only one solution.


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