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KEAM 2016 Math Paper
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© examsnet.com
Question : 43
Total: 120
If
sin
x
+
cos
x
=
√
2
,
then
sin
x
cos
x
=
1
1
2
2
√
2
1
√
2
Validate
Solution:
sin
x
+
cos
x
=
√
2
⇒
(
sin
x
+
cos
x
)
2
=
(
√
2
)
2
⇒
sin
2
x
+
cos
2
x
+
2
sin
x
cos
x
=
2
⇒
1
+
2
sin
x
cos
x
=
2
⇒
2
sin
x
cos
x
=
1
⇒
sin
x
cos
x
=
1
2
© examsnet.com
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