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UPSC NDA Math Model Paper 10
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© examsnet.com
Question : 55
Total: 120
What is the value of
sin
θ
+
cos
θ
−
tan
θ
sec
θ
+
cosec
θ
−
cot
θ
when
θ
=
3
π
4
?
0
1
-1
None of the above
Validate
Solution:
Here,
sin
θ
+
cos
θ
−
tan
θ
sec
θ
+
cosec
θ
−
cot
θ
and
θ
=
3
π
4
=
π
−
π
4
sin
θ
+
cos
θ
−
tan
θ
sec
θ
+
cosec
θ
−
cot
θ
=
sin
(
π
−
π
4
)
+
cos
(
π
−
π
4
)
−
tan
(
π
−
π
4
)
sec
(
π
−
π
4
)
+
cosec
(
π
−
π
4
)
−
cot
(
π
−
π
4
)
=
sin
(
π
4
)
−
cos
(
π
4
)
+
tan
(
π
4
)
−
sec
(
π
4
)
+
cosec
(
π
4
)
+
cot
(
π
4
)
=
1
√
2
−
1
√
2
+
1
−
√
2
+
√
2
+
1
=
1
Hence, option (2) is correct.
© examsnet.com
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