Question

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 1

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.