Student A is wrong and Student B is correct.
How?
- Direction is saying to construct a line that passes through C
- The last step is enough to describe that A is wrong.
- Its saying to swing an arc(Should be line).
- On the other hand Student B has done correct
- By passing point through C and G it satisfies our required construction.
Answer:
A) sin θ = 3/5
B) tan θ = 3/4
C) csc θ = 5/3
D) sec θ = 5/4
E) cot θ = 4/3
Step-by-step explanation:
We are told that cos θ = 4/5
That θ is the acute angle of a right angle triangle.
To find the remaining trigonometric functions for angle θ, we need to find the 3rd side of the triangle.
Now, the identity cos θ means adjacent/hypotenuse.
Thus, adjacent side = 4
Hypotenuse = 5
Using pythagoras theorem, we can find the third side which is called opposite;
Opposite = √(5² - 4²)
Opposite = √(25 - 16)
Opposite = √9
Opposite = 3
A) sin θ
Trigonometric ratio for sin θ is opposite/hypotenuse. Thus;
sin θ = 3/5
B) tan θ
Trigonometric ratio for tan θ is opposite/adjacent. Thus;
tan θ = 3/4
C) csc θ
Trigonometric ratio for csc θ is 1/sin θ. Thus;
csc θ = 1/(3/5)
csc θ = 5/3
D) sec θ
Trigonometric ratio for sec θ is 1/cos θ. Thus;
sec θ = 1/(4/5)
sec θ = 5/4
E) cot θ
Trigonometric ratio for cot θ is 1/tan θ. Thus;
cot θ = 1/(3/4)
cot θ = 4/3
Answer:
(x+8) ^2=64
Step-by-step explanation:
that will give you your two solutions: x= -16 and x=0. I hope this helps!!!
Answer:
$7.74
Step-by-step explanation:
0.75x46=34.5
0.52x63=32.76
34.5+32.76=67.26
75-67.26=7.74
Angle WVX = Angle YVZ (vertically opposite angles)
Angle VWX = Angle VYZ (shown)
Angle WXV = Angle YZV (total sum of angles in triangle)
