Question

cos2Q + 1/1+cot2 Q = 1​

Answer 1

Answer:

By the trig identities

cos

2

x

+

sin

2

x

=

1

⇒

sin

2

x

=

1

−

cos

2

x

and

1

+

cot

2

x

=

csc

2

x

=

1

sin

2

x

,

we have

(

1

−

cos

2

x

)

(

1

+

cot

2

x

)

=

sin

2

x

⋅

1

sin

2

x

=

1

.

I hope that this was helpful.