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Byju's Answer
Standard X
Mathematics
Trigonometric Table
Which of the ...
Question
Which of the following complementary trigonometric ratios are not defined at 0°?
A
C
o
t
θ
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B
C
o
s
θ
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C
C
o
s
e
c
θ
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D
S
e
c
θ
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Solution
The correct options are
A
C
o
t
θ
C
C
o
s
e
c
θ
we know that,
C
o
t
0
°
=
N
o
t
d
e
f
i
n
e
d
C
o
s
0
°
=
1
C
o
s
e
c
0
°
=
N
o
t
d
e
f
i
n
e
d
S
e
c
0
°
=
1
S
o
,
C
o
t
θ
a
n
d
C
o
s
e
c
θ
are the two complementary trigonometric ratios which are not defined at 0°.
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Similar questions
Q.
Which of the following complementary trigonometric ratios are not defined at 0°?
Q.
At
θ
=
90
∘
which of the following trigonometric ratios are not defined?
Q.
2Q.
(
i
)
sin
θ
cos
θ
-
sin
θ
cos
(
90
°
-
θ
)
cos
θ
s
e
c
(
90
°
-
θ
)
-
cos
θ
sin
(
90
°
-
θ
)
sin
θ
cos
e
c
(
90
°
-
θ
)
=
0
Q.
12,13,14,15all the sub parts
Q12. Without using trigonometrical tables, evaluate :
(i)
2
tan
35
°
cot
55
°
2
+
cot
55
°
tan
35
°
-
3
sec
40
°
cosec
50
°
(ii)
sin
35
°
cos
55
°
+
cos
35
°
sin
55
°
cosec
2
10
°
-
tan
2
80
°
(iii) sin
2
34° + sin
2
56° + 2 tan 18° tan 72° – cot
2
30°.
Q13. Prove the following :
(i)
cos
θ
sin
90
°
-
θ
+
sin
θ
cos
90
°
-
θ
=
2
(ii) cos
θ
sin
90
°
-
θ
+
sin
θ
cos
90
°
-
θ
=
1
(iii)
tan
θ
tan
90
°
-
θ
+
sin
90
°
-
θ
cos
θ
=
sec
2
θ
.
Q14. Prove the following :
(i)
cos
90
°
-
A
sin
90
°
-
A
tan
90
°
-
A
=
1
-
cos
2
A
(ii)
sin
90
°
-
A
cosec
90
°
-
A
+
cos
90
°
-
A
sec
90
°
-
A
=
1
Q15. Simplify the following :
(i)
cos
θ
sin
90
°
-
0
+
cos
90
°
-
θ
sec
90
°
-
θ
-
3
tan
2
30
°
Q.
Let S = sec²θsec²Φ + 4sec²θcosec²Φ + 9cosec²θ where θ, Φ ε (0,π/2). Find the minimum value of S and the value of θ and Φ for which it is minimum
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