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NDA Math Trigonometric Ratios of Angles and Equations
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© examsnet.com
Question : 49
Total: 100
Consider the following for triangle ABC:
1.
sin
(
B
+
C
2
)
=
cos
(
A
2
)
2.
tan
(
B
+
C
2
)
=
cot
(
A
2
)
3.
sin
(
B
+
C
)
=
cosA
4.
tan
(
B
−
C
)
=
−
cotA
Which of the above are correct?
[NDA I 2017]
1 and 3
1 and 2
1 and 4
2 and 3
Validate
Solution:
A
+
B
+
C
=
π
sin
(
B
+
C
2
)
=
sin
(
π
2
−
A
2
)
=
cos
A
2
(
T
r
u
e
)
tan
(
B
+
C
2
)
=
tan
(
π
2
−
A
2
)
=
cot
A
2
(
T
r
u
e
)
Statement 1 and 2 are true.
© examsnet.com
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