Treball4 Mat1

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EQUACIONS TRIGONOMÈTRIQUES Resoleu:

2 2 a) sin x − cos x =

1 2

b) tag 2 x = 3tagx π 1   = cos x − sinx 6 2   d) 4 sin 2 x + sin 2 2 x = 3

c) cos  x +

e) 2sinx = tagx f) sin 3 x + cos 3 x = 0 g) 3sin 2 x − 5sinx + 2 = 0 x 2

2 h) 6 cos   + cos x − 1 = 0

i) 2 sinx + 2 cos x = 2 j) sin 5 x = −

2 2

k) cos x = cos 50 l) cos 2 x + 5 cos x + 3 = 0 m) sinx cos x = n)

1 2

sin 2 x tagx = 3 4

p) sin 2 x = tagx q) sin 2 x cos x = 6 sin 3 x

Solucions dins el primer cicle : a) 60º,120º,240º,300º b) 0o,30º,150º,180º,210º,330º c) 90º,270º d) 45º , 135º , 225º,315º e) 0o,60º,180º,300º f) 45º,105º,165º,225º,285º,345º g) 41º48'37'' , 90º, 138º11'23'' h) 120º,240º i) 105º,345º j) 45º, 63o, 117o ,135º ,189º,207º, 261º, 279º,333º,351º k) 50º,310º l) 120º,240º m) 45º,225º, n) 0o,180º p) 0o,45º, 135º , 180º, 225º, 315º q) 0o, 30º, 150º, 180º, 210º, 330o

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