Prove that : (i) sin38∘+sin22∘=sin82∘ (ii) cos100∘+cos20∘=cos40∘ (iii) sin50∘+sin10∘=cos20∘ (iv) sin23∘+sin37∘=cos7∘ (v) sin105∘+cos105∘=cos45∘ (vi) sin40∘+sin20∘=cos10∘

Prove that : (i) sin38∘+sin22∘=sin82∘ (ii) cos100∘+cos20∘=

1.	Prove that : (i) sin38∘+sin22∘=sin82∘ (ii) cos100∘+cos20∘=cos40∘ (iii) sin50∘+sin10∘=cos20∘ (iv) sin23∘+sin37∘=cos7∘ (v) sin105∘+cos105∘=cos45∘ (vi) sin40∘+sin20∘=cos10∘
Answer» Prove that : (i) $s i n 38^{\circ} + s i n 22^{\circ} = s i n 82^{\circ}$ (ii) $c o s 100^{\circ} + c o s 20^{\circ} = c o s 40^{\circ}$ (iii) $s i n 50^{\circ} + s i n 10^{\circ} = c o s 20^{\circ}$ (iv) $s i n 23^{\circ} + s i n 37^{\circ} = c o s 7^{\circ}$ (v) $s i n 105^{\circ} + c o s 105^{\circ} = c o s 45^{\circ}$ (vi) $s i n 40^{\circ} + s i n 20^{\circ} = c o s 10^{\circ}$