FIRST PARTWe need to find sin α, cos α, and cos β, tan β
α and β is located on third quadrant, sin α, cos α, and sin β, cos β are negative
Determine ratio of ∠α
Use the help of right triangle figure to find the ratio
tan α = 5/12
side in front of the angle/ side adjacent to the angle = 5/12
Draw the figure, see image attached
Using pythagorean theorem, we find the length of the hypotenuse is 13
sin α = side in front of the angle / hypotenuse
sin α = -12/13
cos α = side adjacent to the angle / hypotenuse
cos α = -5/13
Determine ratio of ∠β
sin β = -1/2
sin β = sin 210° (third quadrant)
β = 210°

SECOND PARTSolve the questions
Find sin (α + β)
sin (α + β) = sin α cos β + cos α sin β



Find cos (α - β)
cos (α - β) = cos α cos β + sin α sin β



Find tan (α - β)


Simplify the denominator


Simplify the numerator


Simplify the fraction

Hello! :)
Let's use PEMDAS.
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
(5-2) = 3 Do parenthesis.
7 × 3 = 21 Multiply with what we got after doing the parenthesis.
9 + 21 = 30 Add with what we had left.
30
Hope this helps!
ELITEDIPER
7) (12 + 6)/(2 +4)
(18)/(6) = 3
8) (42 - 24)/6
(18)/6 = 3
9) (9 + 16) - (2 x 4)
25 - 8 = 17
10) 60 - (3 + 2) x 5
60 - 5 x 5
60 - 25 = 35
11) 18 + (9/3)
18 + 3 = 21
12) 5 x (2 + 4 + 3)
5 x (9) = 45
hope this helps
Answer:
See explanation below.
Step-by-step explanation:
First I'm going to find angle 2. Angle two plus 55 is equal to 115. 180-115=65. 65-55=10 Angle 2 = 10
Next, we can find angle 3. 55+10=65. 180-65=115. Angle 3 = 115
Angle 2 is equal to angle 5, angle 3 is equal to angle 6, and angle 4 is equal to 55.
Angle 5 = 10
Angle 4 = 55
Angle 6 = 115
Now we can find angle 8. 180-115=65. Angle 8 = 65
Angle 11 = 65
Angle 12 = 115
10+115=125 Angle 10 = 125
180-125 = 55 Angle 9 = 55
Angle 14 = 55
Angle 13 = 125
<span>D) perpendicular bisector <em>I believe.
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