To prove : one plus cot square theta into tan theta by sec square theta = cot theta

we are given

We will simplify left side and make it equal to right side

Left side:

we can use trigonometric identity

we can replace it

we know that

csc=1/sin and sec=1/cos

so, we can replace it

and we get

now, we know that

tan =sin/cos

we can simplify it

and we get

we can also write it as

Right Side:

we can see that

left side = right side

so,

......Answer