Texas Instruments TI-30X Teachers Guide - Page 14

Trig Functions - set of 10

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Trig Functions Overview Students practice solving sine, cosine, and tangent ratios, and solve problems involving trigonometric ratios. Introduction Introduce the trigonometric ratios to students. sin = opposite leg ¾ hypotenuse cos = adjacent leg ¾ hypotenuse tan = opposite leg ¾ adjacent leg Math Concepts • multiplication • division • trigonometric ratios Materials • TI-30X ÙS • pencil • student activity A 3 5 B C 4 1. Have students find the trigonometric ratios for the triangle using the above definitions. Round to the nearest hundredth if necessary. (Use % , for rounding.) a. sin C b. cos C c. tan C d. sin A e. cos A f. tan A 3 ¾ 5 = 0.60 4 ¾ 5 = 0.80 3 ¾ 4 = 0.75 4 ¾ 5 = 0.80 3 ¾ 5 = 0.60 4 ¾ 3 = 1.33 2. Have students find the value of each ratio using the TI-30X ÙS. Round to the nearest 10 thousandth. a. sin 71° b. tan 31° c. cos 25° 0.9455 0.6009 0.9063 3. Have students find the measure of each angle using the TI-30X ÙS. Round to the nearest degree. a. sin B = 0.4567 b. cos A = 0.6758 c. tan C = 5.83 27 degrees 47 degrees 80 degrees ³ To set 2 decimal places: 1. Press % ,. F0123456789 2. Press 2 to select 2 decimal places. ³ To find sin 71°: 1. Press >. sin( 2. Enter 71; press E

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© 1999 T
EXAS
I
NSTRUMENTS
I
NCORPORATED
TI-30X
Ù
S: A Guide for Teachers
10
Trig Functions
Overview
Students practice solving sine, cosine, and tangent
ratios, and solve problems involving trigonometric
ratios.
Math Concepts
• multiplication
• division
• trigonometric
ratios
Materials
• TI-30X
Ù
S
• pencil
• student activity
Introduction
Introduce the trigonometric ratios to students.
sin = opposite leg
¾
hypotenuse
cos = adjacent leg
¾
hypotenuse
tan = opposite leg
¾
adjacent leg
1.
Have students find the trigonometric ratios for
the triangle using the above definitions. Round to
the nearest hundredth if necessary. (Use
%
‚
for rounding.)
a.
sin C
3
¾
5 = 0.60
b.
cos
C
4
¾
5 = 0.80
c.
tan
C
3
¾
4 = 0.75
d.
sin
A
4
¾
5 = 0.80
e.
cos
A
3
¾
5 = 0.60
f.
tan
A
4
¾
3 = 1.33
‡
To set 2 decimal places:
1.
Press
%
‚
.
F
0123456789
2.
Press
2
to select 2
decimal places.
2.
Have students find the value of each ratio using
the TI-30X
Ù
S. Round to the nearest 10
thousandth.
a.
sin 71°
0.9455
b.
tan 31°
0.6009
c.
cos 25°
0.9063
‡
To find sin 71°:
1.
Press
>
.
sin(
2.
Enter
71
; press
E
<
.
sin(71)
0.945518576
3.
Press
%
‚
4
.
sin(71)
0.9455
3.
Have students find the measure of each angle
using the TI-30X
Ù
S. Round to the nearest degree.
a.
sin
B
= 0.4567
27 degrees
b.
cos
A
= 0.6758
47 degrees
c.
tan
C
= 5.83
80 degrees
‡
To find
B
when sin
B
=0.4567:
1.
Press
%
Z
.
sin
-1
(
2.
Enter
.4567
; press
E
<
.
sin
-1
(.4567)
27.1744
3.
Press
%
‚
0
.
sin
-1
(.4567)
27.
5
4
3
B
C
A