The Sin^-1(.9090) does not equal to 65 degrees. It equals 1.14. I would like to know how you got the sine of angle B

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 52E
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The Sin^-1(.9090) does not equal to 65 degrees. It equals 1.14. I would like to know how you got the sine of angle B
TEXAS INSTRUMENTS TI-83 Plus
7895037397
sin-K.91)
1.143284062
sin1(,9090)
1.140878495
sin1(0.9090)
1.140878495
STAT PLOTF1
TBLSET
F2
FOR MAT F3
CALC
F4
TABLE
F5
Y=
WINDOW
ZOOM
TRACE
GRAPH
QUIT
INS
2nd
MODE
DEL
A-LOCK
LINK
LIST
ALPHA
X,T,0,n
STAT
TEST
A ANGLE
B DRAW C DISTR
Transcribed Image Text:TEXAS INSTRUMENTS TI-83 Plus 7895037397 sin-K.91) 1.143284062 sin1(,9090) 1.140878495 sin1(0.9090) 1.140878495 STAT PLOTF1 TBLSET F2 FOR MAT F3 CALC F4 TABLE F5 Y= WINDOW ZOOM TRACE GRAPH QUIT INS 2nd MODE DEL A-LOCK LINK LIST ALPHA X,T,0,n STAT TEST A ANGLE B DRAW C DISTR
9:38
AB =c = 12 ; AC =b; BC= a = 5
Applying pythagorous theorem in the given right
angle triangle
(Hypotenuse)? = (Base)? + (Perpendicular)²
c2 = a² + b²
122 = 52 + b²
b2 = 144 -25 = 119
then b = V119
Step2
b)
According to the given figure
sinB = Perpendicular / Hypotenuse
= b/c
119 / 12
So,
sinB = V119 / 12
= 10.90/12 = 0.9090
B= sin(0.9090) = 65.36°
Answer
Transcribed Image Text:9:38 AB =c = 12 ; AC =b; BC= a = 5 Applying pythagorous theorem in the given right angle triangle (Hypotenuse)? = (Base)? + (Perpendicular)² c2 = a² + b² 122 = 52 + b² b2 = 144 -25 = 119 then b = V119 Step2 b) According to the given figure sinB = Perpendicular / Hypotenuse = b/c 119 / 12 So, sinB = V119 / 12 = 10.90/12 = 0.9090 B= sin(0.9090) = 65.36° Answer
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