Question

Evaluate the following:

`(tan 55^circ)/(cot 35^circ)`

Answer 1

Given: `(tan 55^circ)/(cot 35^circ)`

Step-wise calculation:

1. Use the complementary-angle identity cot (90° – θ) = tan θ.

So, cot 35° = tan (90° – 35°)

= tan 55°

2. Therefore, `(tan 55^circ)/(cot 35^circ)`

= `(tan 55^circ)/(tan 55^circ)`

= 1