# Fill up the blanks :(i) If sin 50o=0.7660, then cos 40o=……(ii) If cos 44o = 0.7193, then sin 46o=…..(iii) sin 50o+cos 40o = 2 sin (………)(iv) Value of is ………

(i) Given: sin 50o=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)]

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