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NDA Math Trigonometric Ratios of Angles and Equations
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© examsnet.com
Question : 35
Total: 100
The value of
tan
9
°
−
tan
27
°
−
tan
63
°
+
tan
81
°
is equal to
[NDA II 2017]
−
1
0
1
4
Validate
Solution:
tan
9
∘
−
tan
27
∘
−
tan
63
∘
+
tan
81
∘
=
(
tan
9
∘
+
cot
9
∘
)
−
(
tan
27
∘
+
cot
27
∘
)
=
cos
(
9
∘
−
9
∘
)
sin
9
∘
cos
9
∘
−
cos
(
27
∘
−
27
∘
)
sin
27
∘
cos
27
∘
=
2
sin
18
∘
−
2
sin
54
∘
=
2
(
sin
54
∘
−
sin
18
∘
)
sin
18
∘
⋅
sin
54
∘
=
2
⋅
2
cos
36
∘
⋅
sin
18
∘
sin
18
∘
⋅
sin
54
∘
=
4
© examsnet.com
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