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UPSC CDS Math Logarithm Questions
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© examsnet.com
Question : 1
Total: 16
What is the value of
log
10
(
cos
θ
)
+
log
10
(
sin
θ
)
+
log
10
(
tan
θ
)
+
log
10
(
cot
θ
)
+
log
10
(
sec
θ
)
+
log
10
(
cosec
θ
)
?
[2019 CDS-II]
-1
0
0.5
1
Validate
Solution:
We have
log
10
(
cos
θ
)
+
log
10
(
sin
θ
)
+
log
10
(
tan
θ
)
+
log
10
(
cot
θ
)
+
log
10
(
sec
θ
)
+
log
10
(
cos
e
c
θ
)
⇒
log
10
(
cos
θ
⋅
sin
θ
⋅
tan
θ
⋅
cot
θ
sec
θ
⋅
cos
e
c
θ
)
⇒
log
10
(
cos
θ
⋅
sin
θ
⋅
tan
θ
cos
θ
⋅
sin
θ
⋅
tan
θ
)
⇒
log
10
1
⇒
0
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