Trigonometric Ratios Worksheet Page 9
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22A
5. Use a calculator to determine the
primary trigonometric ratios for each
Unless specified otherwise, all angles are
angle. Round decimal answers to four
between 0° and 360°.
decimal places.
a) 80°
1. Use a calculator to calculate each pair
of ratios. Round decimal answers to four
b) 110°
decimal places.
c) 200°
a) sin 58°, sin 122° °
d) 324°
b) cos 117°, cos 243° °
e) 47°
c) tan 238°, tan 58° °
f ) 192°
d) sin 310°, sin 230° °
g) 217°
e) cos 82°, cos 278° °
h) 345°
f ) tan 266°, tan 86° °
i) 13°
g) sin 65°, sin 115° °
j) 270°
h) tan 109°, tan 289°
6. Find the values of , where
0° ° ≤ ≤ 360°. °. .
2. What do you notice about each pair of
__
ratios in question 1? Explain.
√
3
___
a) sin =
2
1
3. Use a calculator to evaluate each ratio
___
__
b) cos =
√
2
to four decimal places. Determine a
__
second angle with the same ratio.
c) tan =
√
3
a) sin 89°
d) sin = 1
b) cos 335°
__
√
3
___
e) cos =
c) sin 132°
2
d) tan 140°
f ) tan = 1
e) cos 155°
B
f ) tan 305°
7. Determine two angles between 0° and
° and
and
__
g) cos 307°
√
3
___
360° that have a sine ratio of
° that have a sine ratio of
that have a sine ratio of
. Do not
2
h) sin 13°
use a calculator.
4. The coordinates of a point on the
8. Use a diagram to determine two angles
terminal arm of an angle are given.
between 0° and 360° that have a cosine
Determine the primary trigonometric
ratio of − 1
__
. Do not use a calculator.
2
ratios for . Round decimal answers to
four decimal places.
9. The tangent ratio of each of two angles
° is is − 1
___
a) A(5, 3)
b) B(−4, 7)
__
between 0° and 360° is
° and 360° is
and 360° is
. Without
√
3
c) C(−6, −2)
d) D(2, −1)
using a calculator, determine the angles.
e) E(10, 3)
f) F(−5, −7)
10. Two angles between 0° and 360° have
g) G(−8, 6)
h) H(−1, −2)
a tangent ratio of −1. Without using a
calculator, determine the angles.
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