Question

Without using trigonometric tables, evaluate :

`tan 27^circ/cot 63^circ`

Answer 1

`tan 27^circ/cot 63^circ`

= `tan (90^circ - 63^circ)/cot 63^circ`

= `cot 63^circ/cot 63^circ`  [`because` tan (90-θ) = cot θ]

= 1