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What is the value of sin 20?

Updated: 4/28/2022
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12y ago

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0.34202014332566873304409961468226

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Q: What is the value of sin 20?
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What is the value of sin 20 degrees?

The sine of 20° is approximately 0.342.


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Like normal expansion of brackets, along with: cos(A + B) = cos A cos B - sin A sin B sin(A + B) = sin A cos B + cos A sin B 5(cos 20 + i sin 20) × 8(cos 15 + i sin 15) = 5×8 × (cos 20 + i sin 20)(cos 15 + i sin 15) = 40(cos 20 cos 15 + i sin 15 cos 20 + i cos 15 sin 20 + i² sin 20 sin 15) = 40(cos 20 cos 15 - sin 20 cos 15 + i(sin 15 cos 20 + cos 15 sin 20)) = 40(cos(20 +15) + i sin(15 + 20)) = 40(cos 35 + i sin 35)


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It depends what substance the refraction is taking place in. You need to know the refractive index, n then you can use the formula (sin(i))/(sin(r)) = n so sin(i) = n * sin(20) and i = arcsin ( n*sin(20) ) or, equivalently: i = sin^-1 ( n*sin(20) ) If you were using a glass block block, then n=1.5 and i = arcsin (1.5*sin(20)) = 30.86588247 = 30.9 degrees (3 s.f.)