Question

Tolong ka yang f-L
soal trigonometri

Answer 1

Sampai f aja ya

b)
cos x = 1/2
cos x = cos 60

i
x = 60 + k.360
k = 0 -> x = 60 + 0 = 60

ii
x = -60 + 1.360
k = 0 -> x = -60 + 0 = -60

HP = {-60°, 60°}

c)
tan (x - 40) = - akar 3
tan 120 = - akar 3
tan (x - 40) = tan(120)

i
x-40 = 120 + k .180
k = 0 -> x - 40 = 120 -> x = 160
k = 1 -> x - 40 = 300 -> x = 340

HP = {160°,340°}

d)
cot 2x = -1
1/tan2x = -1
tan 2x = -1
tan 2x = 135

i
2x = 135 + k.180
k = 0 -> 2x = 135 -> x = 6,75
k = 1 -> 2x = 215 -> x = 107,5

HP = {6,75°,107,5}

e)
sec 1/2x = -2
1/ cos 1/2x = -2
cos 1/2x = -1/2
cos 1/2x = cos 120

i
1/2x = 120 + k.360
k = 0 -> 1/2x = 120 -> x = 240

HP = {240°}

f)
csc (3x + 50) = -2/3 akar 3
1/sin (3x + 50) = -2/3 akar 3
sin (3x + 50) = 1/ (-2/3 akar 3)
sin (3x + 50) = -3/6 akar 3
sin (3x + 50) = -1/2 akar 3
sin (3x + 50) = sin 225

i
3x + 50 = 225 + k.360
k = 0 -> 3x + 50 = 225 -> x = 175/3
k = 1 -> 3x + 50 = 555 -> x = 535/3
k = 2 -> 3x + 50 = 945 -> x = 895/3

HP = {175/3°, 535/3°, 893/3°}

CMIIW

Answer 2

F)
csc (3x+50) = -2/3V3
csc (3x+50) = csc 240
3x+50 = 240
3x = 240-50
3x = 190
x = 190/3
x = 63,3

g)
sin (x+ phi/6) + 1 = 0
sin (x + phi/6) = -1
sin (x + 30) = sin 270
x + 30 = 270
x = 240
x = 4/3 phi

h)
2 cos (x - phi/4) + 1 = 0
2 cos (x- phi/4) = -1
cos (x - phi/4) = -1/2
cos (x - phi/4) = cos 120
x - phi/4 = 120
x - phi/4 = 2/3 phi
x = (2/3 + 1/4) phi
x = 11/12 phi

i)
3 tan (x+phi/3) + V3 = 0
3 tan (x+phi/3) = -V3
tan (x+phi/3) = -V3/3
tan (x+phi/3) = tan 5/6 phi
x + phi/3 = 5/6 phi
x = 5/6phi - phi/3
x = 1/2 phi

j)
cot 4x + 1 = 0
cot 4x = -1
cot 4x = cot 3/4 phi
4x = 3/4 phi
x = 3/4 phi : 4
x = 3/16 phi

k)
3 sec (2x - 2phi/3) - V2 = 0
3 sec (2x - 2phi/3) = V2
sec (2x - 2phi/3) = V2/3 
sec (2x- 2phi/3) = sec       

l)
csc (3x - phi/4) + V2 = 0
csc (3x - phi/4) = -V2
csc (3x - phi/4) = csc 7phi/6
3x - phi/4 = 7phi/6
3x = 7phi/6 + phi/4
3x = 17phi/12
x = 17phi/12 : 3
x = 17phi/36

yg k bukan sudut istimewa V2/3 tdk ada bisanya dicari dg kalkulator adee,
maaf gak bawa kalkulator , ntar ya ummi koreksi lg , teliti lg ya dee , barangkali ada yg gak teliti ummi ngitungnya