Answer:
The correct option is
Option d. Sin θ = -√65/9 and Tan θ = -√65/4
Step-by-step explanation:
Points to remeber
Sin θ = Opposit side/ Hypotenuse
Cos θ = Adjacent side/Hypotenuse
Tan θ= Opposite side /Adjacent side
<u>To find opposite side</u>
It is given that,
Cos θ = -4/9 = Adjacent side/Hypotenuse
We can find opposite side of angle θ
opposit side ² = Hypotenuse² - adjacent side² = 9² - 4²
= 81 - 16 = 65
Opposite side = √65
<u>To find sinθ and tanθ</u>
Sin θ = Opposit side/ Hypotenuse = -√65/9
Tan θ = Opposite side /Adjacent side = -√65/4
Therefore the correct option is
Option d. Sin θ = -√65/9 and Tan θ = -√65/4
<u />
Answer:
-7
Step-by-step explanation:
6^2=36 36/4=9 so 5-9=-4 minus 3 = -7
Comment
If you can assume That COA has 3 point on the same straight line and that BOE are three points on the same straight line then <AOE = <COB because they are vertically opposite.
Step One
Find angle BOA
<BOC + <COD + <DOE + <EOA + BOA = 360o Substitute values for angles
57 + 95 + 28 + 57 + BOA = 360 Add the left side
237 + <BOA= 360 Subtract 237
<BOA = 360 - 237
<BOA = 123
Step Two
Determine Arc BDA
These angles are all central angles. They will add to the desired arc.
BDA + BOA = 360
BDA + 123 = 360 Subtract 123 from both sides.
BDA = 360 - 123
BDA = 237 <<<<<<<<<<<< Answer