Question

find the Product of {1 + (cotx)2 }{1 – cosx}{1 + cosx} and also find the value of product at x= 45°​

Answer 1

Answer:

y=

1+cosx

1−cosx

⇒y=

1+cosx

1−cosx

×

1−cosx

1−cosx

=

1−cos

2

x

1−cosx

=

sinx

1−cosx

=cscx−cotx

∴

dx

dy

=tan(

2

x

)cscx

=

cos

2

x

(2sin(

2

x

)cos(

2

x

))

sin(

2

x

)

=

2

1

sec

2

(

2

x

)