sin 20. sin 100. sin 140. sin 60 please give me answer this question with solution
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Step-by-step explanation:
sin 20. sin 100. sin 140. sin 60
let's ignore sin140 for a while
sin 60 sin(60+A) sin(60-A) = sin3A/4
sin 20. sin 100.sin 60 = sin3×40/4
= 1/2/4.........(1)
sin140 = sin(90+60)
sin(A+B) = sinA cosB + cosA sinB
= 1× 1/2 + 0
= 1/2
1/2/4 × 1/2
0.125 × 0.5
0.0625
So value of
sin 20. sin 100. sin 140. sin 60 is 0.0625
hope it helps you buddy
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