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Byju's Answer
Standard X
Mathematics
Variation of Trigonometric Ratios from 0 to 90 Degrees
If tan θ = 2,...
Question
If
t
a
n
θ
= 2, then
c
o
t
θ
=
1
2
A
True
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B
False
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Solution
The correct option is
A
True
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0
Similar questions
Q.
26. If a= e i θ , then (1+ a) /(1 a) is equal to (A) cot θ/2 (B) tan θ (C) i cot θ/2 (D) i tan θ/2 (E) 2 tan θ
Q.
Q. If sin
θ
+ cos
θ
=
2
, then evaluate : tan
θ
+ cot
θ
Q.
(1 + cot θ – cosec θ) (1 + tan θ + sec θ) = 2
Q.
If tan
−1
(cot θ) = 2 θ, then θ =
(a)
±
π
3
(b)
±
π
4
(c)
±
π
6
(d) none of these
Q.
Prove that
(i)
cos
(
2
π
+
θ
)
cosec
(
2
π
+
θ
)
tan
(
π
/
2
+
θ
)
sec
(
π
/
2
+
θ
)
cosθ
cot
(
π
+
θ
)
=
1
(ii)
cosec
(
90
°
+
θ
)
+
cot
(
450
°
+
θ
)
cosec
(
90
°
-
θ
)
+
tan
(
180
°
-
θ
)
+
tan
(
180
°
+
θ
)
+
sec
(
180
°
-
θ
)
tan
(
360
°
+
θ
)
-
sec
(
-
θ
)
=
2
(iii)
sin
(
180
°
+
θ
)
cos
(
90
°
+
θ
)
tan
(
270
°
-
θ
)
cot
(
360
°
-
θ
)
sin
(
360
°
-
θ
)
cos
(
360
°
+
θ
)
cosec
(
-
θ
)
sin
(
270
°
+
θ
)
=
1
(iv)
1
+
cotθ
-
sec
π
2
+
θ
1
+
cotθ
+
sec
π
2
+
θ
=
2
cotθ
(v)
tan
(
90
°
-
θ
)
sec
(
180
°
-
θ
)
sin
(
-
θ
)
sin
(
180
°
+
θ
)
cot
(
360
°
-
θ
)
cosec
(
90
°
-
θ
)
=
1
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