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UPSC CDS Math Trigonometric Ratios and Trigonometric Identities Questions
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© examsnet.com
Question : 22
Total: 107
What is
s
i
n
4
θ
−
c
o
s
4
θ
equal to for any real number θ?
[2018 CDS-I]
1
1
−
2
s
i
n
2
θ
2
c
o
s
2
θ
+
1
1
−
2
c
o
s
2
θ
Validate
Solution:
sin
4
θ
−
cos
4
θ
=
(
sin
2
θ
+
cos
2
θ
)
(
sin
2
θ
−
cos
2
θ
)
=
1
(
1
−
2
cos
2
θ
)
=
1
−
2
cos
2
θ
© examsnet.com
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