Question

If A= [ (Cosx -sinx) (sinx cosx)] fine A^3

Answer 1

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

.