Question
If cos (A + 31°) = sin 47°, then what is the value of sin 5A?
यदि cos (A + 31 °) = sin 47 ° है, तो sin 5A का मान क्या है ?
Answer C.
C.cos (A + 31°) = sin 47°
cos (A + 31°) =sin(90°-43°) (sin(90-A)=cos A)
cos (A + 31°)=cos 43°
A + 31°= 43°
A = 12°
sin 5A =sin 5 x 12°=sin 60°=√3/2
So the correct answer is option C.
C.cos (A + 31°) = sin 47°
cos (A + 31°) =sin(90°- 43°) (sin(90-A)=cos A)
cos (A + 31°)=cos 43°
A + 31°= 43°
A = 12°
sin 5A =sin 5 x 12°=sin 60°=√3/2
इसलिए सही उत्तर विकल्प C है।
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