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Byju's Answer
Standard XII
Mathematics
Evaluation of a Determinant
sin 51∘+cos 8...
Question
sin51
o
+ cos81
o
=?
A
- cos21
o
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B
sin132
o
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C
- sin132
o
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D
cos21
o
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Solution
The correct option is
D
cos21
o
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8
Similar questions
Q.
Prove that:
(i) cos 55° + cos 65° + cos 175° = 0
(ii) sin 50° − sin 70° + sin 10° = 0
(iii) cos 80° + cos 40° − cos 20° = 0
(iv) cos 20° + cos 100° + cos 140° = 0
(v)
sin
5
π
18
-
cos
4
π
9
=
3
sin
π
9
(vi)
cos
π
12
-
sin
π
12
=
1
2
(vii) sin 80° − cos 70° = cos 50°
(viii) sin 51° + cos 81° = cos 21°
Q.
Without using trigonometric tables evaluate :
sin
63
∘
cos
27
∘
+
cos
39
∘
sin
51
∘
−
sin
23
∘
⋅
sec
67
∘
+
csc
2
30
∘
Q.
Solve the right triangle where
∠
C
=
90
∘
,
b
=
4.5
,
∠
A
=
39
∘
. (Given that
sin
51
∘
=
0.7771
and
sin
39
∘
=
0.6293
)
Q.
Without using trigonometric tables, prove that:
(i) cos 81° − sin 9° = 0
(ii) tan 71° − cot 19° = 0
(iii) cosec 60° − sec 30° = 0
(iv) cot 34° − tan
56° = 0
(v) sin
2
48° + sin
2
42° = 1
(vi) cos
2
72° + cos
2
18° = 1
Q.
Let
x
,
y
be real numbers such that
x
cos
2
39
∘
=
tan
26
∘
cot
39
∘
tan
86
∘
cos
78
∘
tan
34
∘
and
y
cos
81
∘
=
cos
36
∘
−
sin
36
∘
.
Then the value of
x
+
y
2
is
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