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Tardigrade
Question
Mathematics
If sin 4A - cos 2A = cos 4A- sin 2A ( 0 < A < (π/4) ) then the value of tan 4A =
Q. If
sin
4
A
−
cos
2
A
=
cos
4
A
−
sin
2
A
(
0
<
A
<
4
π
)
then the value of tan 4A =
2956
236
Trigonometric Functions
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A
1
10%
B
3
1
18%
C
3
46%
D
3
+
1
3
−
1
26%
Solution:
Given
sin
4
A
−
cos
2
A
=
cos
4
A
−
sin
2
A
⇒
sin
4
A
+
sin
2
A
=
cos
4
A
+
cos
2
A
⇒
2
sin
3
A
cos
A
=
2
cos
3
A
cos
A
⇒
tan
3
A
=
1
(
∵
cos
A
=
0
)
⇒
3
A
=
4
π
⇒
A
=
12
π
⇒
4
A
=
3
π
⇒
tan
4
A
=
tan
3
π
=
3