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Ejercicios de trigonometria - Amolasmates

Ejercicios de trigonometria - Amolasmates

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k<br />

x<br />

x<br />

cos<br />

x<br />

cos<br />

k<br />

x<br />

k<br />

x<br />

x<br />

sen<br />

x<br />

sen<br />

<br />

<br />

<br />

<br />

<br />

<br />

360<br />

180<br />

1<br />

0<br />

1<br />

360<br />

180<br />

360<br />

0<br />

0<br />

0<br />

2<br />

2<br />

Por tanto, las soluciones son:<br />

Z<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

k<br />

k<br />

x<br />

k<br />

x<br />

siendo<br />

360<br />

180<br />

360<br />

<br />

<br />

<br />

Ejercicio nº 17.-<br />

Resuelve la ecuación:<br />

0<br />

2<br />

1<br />

2<br />

2<br />

<br />

<br />

x<br />

sen<br />

x<br />

cos<br />

Solución:<br />

0<br />

2<br />

1<br />

0<br />

2<br />

1<br />

2<br />

2<br />

2<br />

2<br />

2<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

x<br />

sen<br />

x<br />

sen<br />

x<br />

cos<br />

x<br />

sen<br />

x<br />

cos<br />

0<br />

2<br />

1<br />

2<br />

<br />

<br />

x<br />

cos<br />

2<br />

1<br />

2 <br />

x<br />

cos<br />

2<br />

2<br />

2<br />

1<br />

<br />

<br />

<br />

<br />

x<br />

cos<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

k<br />

x<br />

k<br />

x<br />

x<br />

cos<br />

k<br />

k<br />

x<br />

k<br />

x<br />

x<br />

cos<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

360<br />

225<br />

360<br />

135<br />

2<br />

2<br />

siendo<br />

360<br />

315<br />

360<br />

45<br />

2<br />

2<br />

Z<br />

Ejercicio nº 18.-<br />

Resuelve:<br />

x<br />

sen<br />

x<br />

cos<br />

x<br />

cos<br />

x<br />

cos 3<br />

3<br />

3<br />

<br />

<br />

Solución:<br />

x<br />

sen<br />

x<br />

cos<br />

x<br />

cos<br />

x<br />

cos 3<br />

3<br />

3<br />

<br />

<br />

0<br />

3<br />

3<br />

3<br />

<br />

<br />

x<br />

sen<br />

x<br />

cos<br />

x<br />

cos<br />

x<br />

cos<br />

0<br />

3<br />

3<br />

2<br />

<br />

<br />

x<br />

sen<br />

x<br />

cos<br />

x<br />

cos<br />

0<br />

3<br />

3<br />

1<br />

2<br />

<br />

<br />

<br />

x<br />

sen<br />

x<br />

sen<br />

x<br />

cos<br />

0<br />

2<br />

3<br />

2<br />

<br />

<br />

<br />

x<br />

sen<br />

x<br />

sen<br />

x<br />

cos<br />

0<br />

2<br />

3<br />

2<br />

<br />

<br />

<br />

x<br />

sen<br />

x<br />

sen<br />

x<br />

cos

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