Question

Without using trigonometric tables, evaluate :

`cot 38^circ/tan 52^circ`

Answer 1

`cot 38^circ/tan 52^circ`

= `cot (90^circ - 52^circ)/tan 52^circ`

= `tan 52^circ/tan 52^circ`  [`because` tan (90-θ) = cot θ]

= 1