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Test Index
NDA Math Trigonometric Ratios of Angles and Equations Part 2
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© examsnet.com
Question : 54
Total: 75
If
sin
x
+
sin
y
=
cos
y
−
cos
x
,
where
0
<
y
<
x
<
π
2
then what is
tan
(
x
−
y
2
)
equal to?
[NDA-I 2020]
0
1
2
1
2
Validate
Solution:
👈: Video Solution
sin
x
+
sin
y
=
cos
y
−
cos
x
⇒
sin
x
+
sin
y
cos
y
−
cos
x
=
1
⇒
2
sin
(
x
+
y
2
)
.
cos
(
x
−
y
2
)
2
sin
(
x
+
y
2
)
.
sin
(
x
−
y
2
)
=
1
⇒
cot
(
x
−
y
2
)
=
1
⇒
tan
(
x
−
y
2
)
=
1
© examsnet.com
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