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JEE Main Math Class 11 Trigonometric Functions Questions
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© examsnet.com
Question : 25
Total: 115
The number of solutions of
|
cos
x
|
=
sin
x
, such that
−
4
π
≤
x
≤
4
π
is :
[25-Jul-2022-Shift-1]
4
6
8
12
Validate
Solution:
Period of
|
cos
x
|
=
π
And period of
sin
x
=
2
π
Graph of
sin
x
and
|
cos
x
|
cuts each other at two points
A
and
B
in
[
0
,
2
π
]
So, in
[
−
4
π
,
4
π
]
, total 4 similar graph will be present and graph of
sin
x
and
|
cos
x
|
will cut
4
×
2
=
8
times.
∴
Total possible solutions
=
8
© examsnet.com
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