Q. 75.0( 4 Votes )

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 ………

Answer :

(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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