Trigonometric Form Worksheet
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18.3. TRIGONOMETRIC FORM - ADDITIONAL EXERCISES
33
8.3
Trigonometric Form - Additional Exercises
1. Express the following vectors in trigonometric form (round the angle
to the nearest degree, when appropriate).
a) u = 2i
b)
4i
c) u =
3j
d) 7j
e) u =
2i + 2j
f) i
j
g) u =
2i + 5j
h) 3i
2j
i) u = 5i
9j
j) 7i + 6j
2. Express the following vectors in rectangular form.
a) 3(cos(30
)i + sin(30
)j)
b) 2(cos(270
)i + sin(270
)j)
◦
◦
◦
◦
√
c) 7(cos(60
)i
sin(60
)j)
d)
2(cos(45
)i + sin(45
)j)
◦
◦
◦
◦
e) 4(cos(90
)i + sin(90
)j)
f) 5(cos(20
)i + sin(20
)j)
◦
◦
◦
◦
g) 3(cos(210
)i + sin(210
)j)
h) 2(cos(135
)i + sin(135
)j)
◦
◦
◦
◦
3. A plane is heading N82
W at 240 m.p.h. Write the velocity of the
◦
plane in the form ai + bj rounding the coefficients to the nearest tenth.
4. A force of 3 N is applied in a direction 28
to the positive x-axis. Find
◦
the j component of the force rounded to the nearest tenth.
5. A force of 20 lbs is applied in a direction 75
to the positive x-axis.
◦
Find the i component of the force rounded to the nearest tenth.
6. A wind blows 220 mph heading N80
E. Write the wind velocity, w, as
◦
ai + bj rounding to the nearest tenth.
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