Respuestas
Respuesta dada por:
1
Para angulo q
Senq=2/3 = 0.6666
q = arcsen(0.6666)= 0.7297 radianes
![K= \sqrt{5}* tan(0.7297)+ \frac{1}{ \sqrt{5} } cos(0.7297)= \\ K=2.236*0.894427+0.4472*0.74535= \\ K=2+0.33= \\ K=2.3333=2 \frac{1}{3}= \frac{7}{3} K= \sqrt{5}* tan(0.7297)+ \frac{1}{ \sqrt{5} } cos(0.7297)= \\ K=2.236*0.894427+0.4472*0.74535= \\ K=2+0.33= \\ K=2.3333=2 \frac{1}{3}= \frac{7}{3}](https://tex.z-dn.net/?f=K%3D+%5Csqrt%7B5%7D%2A+tan%280.7297%29%2B+%5Cfrac%7B1%7D%7B+%5Csqrt%7B5%7D+%7D+cos%280.7297%29%3D+%5C%5C+K%3D2.236%2A0.894427%2B0.4472%2A0.74535%3D+%5C%5C+K%3D2%2B0.33%3D+%5C%5C+K%3D2.3333%3D2++%5Cfrac%7B1%7D%7B3%7D%3D+%5Cfrac%7B7%7D%7B3%7D++++)
Respuesta inciso d) 7/3
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![Siendo\hspace{2mm} Ctg\theta=Cos37grados Siendo\hspace{2mm} Ctg\theta=Cos37grados](https://tex.z-dn.net/?f=Siendo%5Chspace%7B2mm%7D+Ctg%5Ctheta%3DCos37grados)
![Cos 37grados=0.798636=Ctg\theta \\ Ctg\theta= \frac{1}{tan\theta} \\ \\ tan\theta= \frac{1}{ctg\theta} = \frac{1}{0.798636} =1.2521 \\ \\
\Theta=Atan(1.2521)= 0.8969 \hspace{2mm}radianes Cos 37grados=0.798636=Ctg\theta \\ Ctg\theta= \frac{1}{tan\theta} \\ \\ tan\theta= \frac{1}{ctg\theta} = \frac{1}{0.798636} =1.2521 \\ \\
\Theta=Atan(1.2521)= 0.8969 \hspace{2mm}radianes](https://tex.z-dn.net/?f=Cos+37grados%3D0.798636%3DCtg%5Ctheta+%5C%5C+Ctg%5Ctheta%3D+%5Cfrac%7B1%7D%7Btan%5Ctheta%7D++%5C%5C++%5C%5C+tan%5Ctheta%3D+%5Cfrac%7B1%7D%7Bctg%5Ctheta%7D+%3D+%5Cfrac%7B1%7D%7B0.798636%7D+%3D1.2521+%5C%5C++%5C%5C+%0A%5CTheta%3DAtan%281.2521%29%3D+0.8969+%5Chspace%7B2mm%7Dradianes)
![E=(Csc ^{2} \theta-1)Tg\theta \\ Csc ^{2}=( \frac{1}{sen\theta} ) ^{2} =1.6378 \\ \\ Tg\theta=1.252\\ \\ E=(1.6378-1)*1.252=0.8 \\ \\ Solucion:\hspace{2mm} Inciso \hspace{2mm} d) 0.8 E=(Csc ^{2} \theta-1)Tg\theta \\ Csc ^{2}=( \frac{1}{sen\theta} ) ^{2} =1.6378 \\ \\ Tg\theta=1.252\\ \\ E=(1.6378-1)*1.252=0.8 \\ \\ Solucion:\hspace{2mm} Inciso \hspace{2mm} d) 0.8](https://tex.z-dn.net/?f=E%3D%28Csc+%5E%7B2%7D+%5Ctheta-1%29Tg%5Ctheta+%5C%5C+Csc+%5E%7B2%7D%3D%28+%5Cfrac%7B1%7D%7Bsen%5Ctheta%7D+%29+%5E%7B2%7D+%3D1.6378+%5C%5C++%5C%5C++Tg%5Ctheta%3D1.252%5C%5C++%5C%5C+E%3D%281.6378-1%29%2A1.252%3D0.8+%5C%5C++%5C%5C+Solucion%3A%5Chspace%7B2mm%7D+Inciso+%5Chspace%7B2mm%7D+d%29+0.8)
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Calcular x , si :![sen\theta= \frac{1}{2} sen\theta= \frac{1}{2}](https://tex.z-dn.net/?f=sen%5Ctheta%3D+%5Cfrac%7B1%7D%7B2%7D+)
![sen\theta= \frac{1}{2} = \frac{2x+1}{x+11} \\ 4x+2=x+11 \\ \\ 4x-x=11-2 \\ \\ 3x=9 \\ \\ \\ x= \frac{9}{3} =3 \\ \\ Inciso\hspace{2mm}a) 3 sen\theta= \frac{1}{2} = \frac{2x+1}{x+11} \\ 4x+2=x+11 \\ \\ 4x-x=11-2 \\ \\ 3x=9 \\ \\ \\ x= \frac{9}{3} =3 \\ \\ Inciso\hspace{2mm}a) 3](https://tex.z-dn.net/?f=sen%5Ctheta%3D+%5Cfrac%7B1%7D%7B2%7D+%3D+%5Cfrac%7B2x%2B1%7D%7Bx%2B11%7D++%5C%5C+4x%2B2%3Dx%2B11+%5C%5C++%5C%5C+4x-x%3D11-2+%5C%5C++%5C%5C+3x%3D9+%5C%5C+++%5C%5C+%5C%5C+x%3D+%5Cfrac%7B9%7D%7B3%7D+%3D3+%5C%5C+%5C%5C++Inciso%5Chspace%7B2mm%7Da%29+3)
Senq=2/3 = 0.6666
q = arcsen(0.6666)= 0.7297 radianes
Respuesta inciso d) 7/3
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Calcular x , si :
solalegria:
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