Question

Range of the function f(x)=cos(K sin x) is [-1,1] then the least positive integral value of K will be. A) 1. B)2. C)3. D)4.
[and there is a small request if you DON'T know the ans then don't ans it by simply writing its answer as i also know the ans i want this ans with full explanation If you only write the ans then i will report your answer if your ans is correct with explanation then i will mark your ans as BRANLIEST with 5 star rating correct ans is 4 ]​

Answer 1

Answer:

k less than or equal to 4

Step-by-step explanation:

the range of k sin x is [(k,(-k)]

as for x=0

cos (k sinx )=1 ................... (x=0)

the range includes y=1 for any value of k

cos (k sinx) =-1 <=> k sinx=π+2nπ

for n=0

k sinx =π

&as

ksinx <or =k

therefore k >or equal to 4

[π= 3.14]