wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The graph of f(x)=acos(bx+c) with b>0 is shown below. Then choose the correct option(s) for the given function?


A
Period of f(x) is 2π3
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
a=1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
b=3
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
a=1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct options are
A Period of f(x) is 2π3
B a=1
C b=3
D a=1
There are two zeros that delimit half a cycle.
Hence, half a period is equal to:
π8(11π24)=π3
Therefore, period of f(x) is
P=2×π3=2π3
But,period of f(x)=acos(bx+c) is 2π|b|
So, 2π3=2π|b|
b=±3
b=3(b>0)

The range of f(x)=acos(bx+c) is [a,a]
From graph, the range of f(x)=acos(bx+c) is [1,1]
So, a=±1

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon