Question

Using trigonometric identities, transform the left side of the equation into the right side:
tan(x)cot(x) = 1

Answer 1

Hi,
cot(x) is the reciprocal of tan(x) which means,
cot(x) = 1/tan(x)

So let's keep it in our mind and move to the question
tan(x) * cot(x) = 1
L.H.S = tan(x) * cot(x) [ let's substitute cot(x) = 1/tan(x) for cot(x) ; ]
= tan(x) * 1/tan(x)
= tan(x)/tan(x)
= 1
= R.H.S

That's it!