Question

sin x - cos8 x = (sin2 x - cos2 x) (1 - 2 sina x cos2 x)​

Answer 1

Answer:

Correct option is

B

-

2

1

sin2x+c

1−2sin

2

xcos

2

x

sin

8

x−cos

8

x

=

(sin

2

x+cos

2

x)

2

−2sin

2

xcos

2

x

(sin

4

x+cos

4

x)(sin

4

x−cos

4

x)

=

sin

4

x+cos

4

x

(sin

4

x+cos

4

x)(sin

4

x−cos

4

x)

=(sin

2

x+cos

2

x)(sin

2

x−cos

2

x)=−cos2x

∫

1−2sin

2

xcos

2

x

sin

8

x−cos

8

x

dx=−∫cos2xdx=−

2

1

sin2x+c

Answer 2

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