Law of Sines
What type of triangles will you use the Law of Sine to solve?
SAA, ASA, SSA
21) Simplify to a number or to one trig. function
sec(x)cos(x)
1
23) Give one solution of the equation sin(x)= -1/2
7pi/6 or 11pi/6
What type of triangles will you use the Law of Cosine to solve?
SAS, SSS
What formula do you use to find the area of an SSS triangle?
Heron's Formula:
area=sqrt(s(s-a)(s-b)(s-c)
How many solutions are there for the following triangle: A=64o, c=33, and a=32
Two triangles
2) Simplify to one number or to one trig. function.
tan(x)/sec(x)
sin(x)
10) Solve for x on the interval [0, 2pi)
-4sintheta=2sqrt3
240 degrees and 300degrees
or 4pi/3 and 5pi/3
Find angle B if: a=28, b=22, and c=26
B=47.9o
Find the area of the triangle given (round to whole number):
A=48o, b=20 feet, c=40 feet
Area=297 feet2
Find side a for the triangle given:
A=38o, B=108o, b=17
a=11
14)
Simplify to a number or one trig function.
sin(x)tan(x)cot(x)csc(x)
1
-2+cos(3theta)=-2
theta_1 =30 degrees and theta_2 =90degrees
Find side b if: B=27o, a=23, and c=15
b=11.8
Find the area of the triangle given (round to whole number):
B=36o, a=3 yards, c=6 yards
Area=5 yards2
Solve the triangle given: B=82o, a=34, b=22
No triangle!
((sin^2x+cos^x)^2)/4
1/4
15) Solve for x on the interval [0, 2pi)
sectheta=2
45degrees and 315degrees
or pi/4 and 7pi/4
Solve the triangle given: C=127o, a=7, b=16
A=15.5o a=7
B=37.5o b=16
C=127o c=21
Find the area of the triangle given (round to whole number):
a=4 feet, b=4 feet, c=2 feet
Area=4 feet2
Solve the triangle given:
B=110o, a=4, b=11
A=20 a=4
B=110 b=11
C=50 c=9
sec x tan x
________
tan2x+1
sin x
2 cos 𝜃 sin 𝜃 = cos 𝜃
30 and 150 degrees
Solve the triangle given: a=27, b=28, and c=25
A=61o a=27
B=65o b=28
C=54o c=25
Find the area of the triangle given (round to whole number):
a=14 meters, b=12 meters, c=4 meters
Area=22 meters2