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Vivianne Schamberger
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What is sin of 48 degrees rounded to the nearest thousandth?
48.000
What is the value of sin 87 to the nearest thousandth?
sin(87 degrees) = 0.999
What are the 3 complex roots of -1 using the DeMoivre's theorem?
Problem: find three solutions to z^3=-1. DeMoivre's theorem is that (cos b + i sin b)^n = cos bn + i sin bn So we can set z= (cos b + i sin b), n = 3 cos bn + i sin bn = -1. From the last equation, we know that cos bn = -1, and sin bn = 0. Three possible solutions are bn=pi, bn=3pi, bn=5pi. This gives three possible values of b: b=pi/3 b=pi b = 5pi/3. Now using z= (cos b + i sin b), we can get three possible cube roots of -1: z= (cos pi/3 + i sin pi/3), z= (cos pi + i sin pi), z= (cos 5pi/3 + i sin 5pi/3). Working these out gives -1/2+i*sqrt(3)/2 -1 -1/2-i*sqrt(3)/2
What is the exponential form for complex numbers?
Exponential form is similar to 'polar form'. Call the Magnitude A, and the angle θ .Then the number is represented as A*eiθ (θ in radians). To convert to rectangular form, use Euler's formula:eiθ = cos(θ) + i*sin(θ)So the complex number A*eiθ = A*cos(θ) + A*i*sin(θ)
What does SIN mean in math?
In a right triangle, the sine of an angle (abbreviated SIN) represents a ratio between the lengths of the side opposite of the angle and the hypotenuse of the triangle. For example, in a standard 3, 4, 5 right triangle, the 2 legs are length 3 and 4, while the hypotenuse (always the longest side) is 5.
What is the sin of 42 degrees rounded to the nearest hundredth?
42.00
What is the sin of 6 degrees to the nearest hundredth?
0.10
What is the value of sin 53 to the nearest tenth?
sin(53 degrees) = 0.8 (rounded) sin(53 radians) = 0.4 (rounded) sin(53 grads) = 0.7 (rounded)
What is sin of 48 degrees rounded to the nearest thousandth?
48.000
What is the area of an equilateral triangle to the nearest hundredth that has a perimeter of 16.65 cm?
Each side is: 16.65/3 = 5.55 cm Area is: 0.5*5.55*5.55*sin(60 degrees) = 13.34 square cm rounded
What is the value of sin 87 to the nearest thousandth?
sin(87 degrees) = 0.999
What is the area rounded to the nearest tenth of a square inch of an equilateral triangle that has a perimeter of 24 inches?
Area of equilateral triangle: 0.5*8*8*sin(60 degrees) = 27.7 square inches rounded
Is 35 degrees cos or sin?
Every angle has a sine and a cosine. The sine of 35 degrees is 0.57358 (rounded) The cosine of 35 degrees is 0.81915 (rounded)
What is the sin of 1305 degrees?
sin(1,305) = sin(225) = -0.70711 (rounded) = 1/2 of the negative square root of 2.
Which measure is closest to the area of an equilateral triangle with a perimeter of 12 centimeters?
It is: 0.5*4*4*sin(60 degrees) = 7 square cm rounded to nearest integer
What is the value of x if sin x equals 0.4 and x is between 0 to 90?
sin(x) = 0.4 x = 23.578 degrees (rounded) x = 0.4115 radian (rounded) x = 26.198 grads (rounded)
What is the possible values os x if 3sin x equals 0.6?
3 sin(x) = 0.6sin(x) = 0.2x = 11.537 degrees (rounded)x = 168.463 degrees (rounded)
