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KEAM 2012 Math Paper
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© examsnet.com
Question : 59
Total: 120
The value of
√
2
(
cos
15
°
−
sin
15
°
)
is equal to
√
3
√
2
1
2
2
√
3
Validate
Solution:
√
2
(
cos
15
∘
−
sin
15
∘
)
=
√
2
(
1
√
2
cos
15
∘
−
1
√
2
sin
15
∘
)
×
√
2
=
2
(
sin
45
∘
cos
15
∘
−
cos
45
∘
sin
15
∘
)
=
2
sin
(
45
∘
−
15
∘
)
=
2
sin
30
∘
=
2
×
1
2
=
1
© examsnet.com
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