The Law of Sines in Trigonometry

undefined
 
By: Christopher Catalogna and Nick Macomber
 
WELCOME TO THE LAW OF SINES
 
 
The Law of Sin
 
I
n
 
A
N
Y
 
t
r
i
a
n
g
l
e
 
w
i
t
h
 
a
n
g
l
e
s
 
A
,
B
,
C
 
a
n
d
o
p
p
o
s
i
t
e
 
s
i
d
e
s
 
a
,
b
,
c
 
t
h
e
 
f
o
l
l
o
w
i
n
g
 
i
s
 
t
r
u
e
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
S
i
n
 
A
 
=
 
S
i
n
 
B
 
=
 
S
i
n
 
C
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
a
 
 
 
 
 
 
 
 
 
 
 
b
 
 
 
 
 
 
 
 
 
 
c
 
 
Find a
 
                                          
40°
                                 10
 
 
 
                                                                                                      30°
Sin40
 = 
Sin30
                                                    a
   a             10
a = 
10Sin40
         Sin30
a = 12.855
 
 
Find b
 
                                                                                               50°
 
 
                                                                                   b
 
                                                                                                            62°
Sin50
 = 
Sin62
    4            b
 b = 
4Sin62
         Sin50
 b =4.610                                                                  4
 
Find B
 
                                                                                            54°
                                                                              15
 
Sin54
 = 
SinB
   13        15
SinB = 
15sin54
                13
B= sin
-1
(15sin54)
                    13                                                                                        B
                                                                                                13
B = 68.984
 
Find B
 
                                                                            30°
 
                                                                                                          7
Sin30
 = 
SinB
    6           7
SinB= 
7Sin30
                6
B = Sin
-1
(
7Sin30)
                     6                               B
B=35.7
 
                                                                             6
 
Recources
 
Youtube
Pre calc text book
Slide Note
Embed
Share

Explore the Law of Sines in trigonometry through explanations and examples for finding angles and sides in triangles. Learn the relationships between angles and sides using sin ratios and apply them to solve various trigonometric problems. Discover the applications of the Law of Sines in real-world scenarios.

  • Trigonometry
  • Law of Sines
  • Angles
  • Sides
  • Ratios

Uploaded on Sep 28, 2024 | 0 Views


Download Presentation

Please find below an Image/Link to download the presentation.

The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author. Download presentation by click this link. If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.

E N D

Presentation Transcript


  1. By: Christopher Catalogna and Nick Macomber 5.5: THE LAW OF 5.5: THE LAW OF SINES SINES

  2. WELCOME TO THE LAW OF SINES http://www.youtube.com/watch?v=s46K3 ToFB2c

  3. The Law of Sin In ANY triangle with angles A,B,C and opposite sides a,b,c the following is true Sin A = Sin B = Sin C a b c

  4. Find a 40 10 30 Sin40 = Sin30 a 10 a = 10Sin40 Sin30 a = 12.855 a

  5. Find b 50 b 62 Sin50 = Sin62 4 b b = 4Sin62 Sin50 b =4.610 4

  6. Find B 54 15 Sin54 = SinB 13 15 SinB = 15sin54 13 B= sin-1(15sin54) 13 B 13 B = 68.984

  7. Find B 30 7 Sin30 = SinB 6 7 SinB= 7Sin30 6 B = Sin-1(7Sin30) 6 B B=35.7 6

  8. Recources Youtube Pre calc text book

More Related Content

giItT1WQy@!-/#giItT1WQy@!-/#giItT1WQy@!-/#giItT1WQy@!-/#