If A= [ (Cosx -sinx) (sinx cosx)] fine A^3
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Answer:
⇒3cosx+5sin(x−
6
π
)
=3cosx+5sinxcos
6
π
−5cosxsin
6
π
=(3−
2
5
)cosx+
2
5
3
sinx.
=
2
cosx
+
2
5
3
sinx.
The maximum & minimum value of acosx+bsinx=±
a
2
+b
2
=±
(
2
1
)
2
+(
2
5
3
)
2
=±
4
1
+
4
75
⇒±
19
.
∴−
19
≤3cosx+5sin(x−
6
π
)≤
19
∴a=−
19
,b=
19
.
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