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Byju's Answer
Standard XII
Mathematics
Trigonometric Ratios of Common Angles
If α=30∘ and ...
Question
If
α
=
30
∘
and
β
=
60
∘
, then the value of
sin
α
+
sec
2
α
+
tan
(
α
+
15
∘
)
tan
β
+
cot
(
β
2
+
15
∘
)
+
tan
α
is
A
7
26
(
4
√
3
−
3
)
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B
3
(
4
−
√
3
)
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C
1
2
(
√
3
−
1
)
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D
√
3
−
2
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Solution
The correct option is
A
7
26
(
4
√
3
−
3
)
sin
α
+
sec
2
α
+
tan
(
α
+
15
∘
)
tan
β
+
cot
(
β
2
+
15
∘
)
+
tan
α
=
sin
30
∘
+
sec
60
∘
+
tan
45
∘
tan
60
∘
+
cot
45
∘
+
tan
30
∘
=
1
2
+
2
+
1
√
3
+
1
+
1
√
3
=
7
√
3
2
(
4
+
√
3
)
=
7
26
(
4
√
3
−
3
)
Suggest Corrections
3
Similar questions
Q.
If
sin
(
α
+
β
)
sin
(
α
−
β
)
=
a
+
b
a
−
b
, where
α
≠
β
,
a
≠
b
,
b
≠
0
, then
tan
α
tan
β
is
Q.
If
sin
(
α
+
β
)
=
1
and
sin
(
α
−
β
)
=
1
2
where
0
≤
α
,
β
≤
π
2
then find the value of
tan
(
α
+
2
β
)
tan
(
2
α
+
β
)
Q.
If
s
i
n
(
α
+
β
)
=
1
and
s
i
n
(
α
−
β
)
=
1
2
,
where
0
≤
α
,
β
≤
π
2
,
then find the values of
t
a
n
(
α
+
2
β
)
and
t
a
n
(
2
α
+
β
)
.
Q.
If
sin
(
α
+
β
)
=
1
,
sin
(
α
−
β
)
=
1
2
, then
tan
(
α
+
2
β
)
tan
(
2
α
+
β
)
is equal to
α
,
β
ϵ
(
0
,
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/
2
)
Q.
If
0
≤
α
,
β
≤
90
and
tan
(
α
+
β
)
=
3
and
tan
(
α
−
β
)
=
2
then value of
sin
2
α
is ?
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