Fill up the blanks :

(i) If sin 50^o=0.7660, then cos 40^o=……

(ii) If cos 44^o = 0.7193, then sin 46^o=…..

(iii) sin 50^o+cos 40^o = 2 sin (………)

(iv) Value of is ………

(i) Given: sin 50^o=0.7660

We know that

Sin θ = cos (90° - θ)

⇒ cos (90° - 50°) = 0.7660

⇒ cos 40° = 0.7660

(ii) Given: cos 44° = 0.7193

We know that,

cos θ = sin (90° - θ)

⇒ sin (90° - 44°) = 0.7193

⇒ sin 46° = 0.7193

(iii) LHS = sin 50° + cos 40°

⇒ sin 50° + sin (90° - 40°) [∵ cos θ = sin (90° - θ)]

⇒ sin 50° + sin 50°

⇒ 2sin 50°

(iii) [∵ Sin θ = cos (90° - θ)]