(i) sin 18°/cos 72°        

(ii) tan 26°/cot 64°    

Solutions:

(i) sin 18°/cos 72°

In order to simplify this, we need to convert the sin function into cos function

We all know that, 18° is written as 90° – 18°, which is equal to the cos 72°.

= sin (90° – 18°) /cos 72°

Substituting the values to simplify this equation

= cos 72° /cos 72° = 1

(ii) tan 26°/cot 64°

In order to simplify this, we need to convert the tan function into cot function

We all know that, 26° is written as 90° – 36°, which is equal to the cot 64°.

= tan (90° – 36°)/cot 64°

Substituting the values to simplify this equation

= cot 64°/cot 64° = 1