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Trigonometry Practice Test 1
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© examsnet.com
Question : 1
Total: 40
If
cos
x
cos
y
=
n
,
sin
x
sin
y
=
m
,
then what is
(
m
2
−
n
2
)
sin
2
y
equal to?
1
−
n
2
1
+
n
2
m
2
n
2
None of these
Validate
Solution:
👈: Video Solution
Given,
cos
x
cos
y
=
n
,
sin
x
sin
y
=
m
Now,
(
m
2
−
n
2
)
sin
2
y
=
(
sin
2
x
sin
2
y
−
cos
2
x
cos
2
y
)
sin
2
y
=
(
1
−
cos
2
x
)
cos
2
y
−
cos
2
x
(
1
−
cos
2
y
)
cos
2
y
=
cos
2
y
−
cos
2
x
cos
2
y
=
1
−
n
2
© examsnet.com
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