Complete question is;
Find the exact values of the six trigonometric functions 0 if the terminal side of 0 in standard position contains the points(-5,-4).
Answer:
Sin θ = -4/√41
Cos θ = -5/√41
tan θ = 4/5
Cosec θ = (√41)/-4
Sec θ = (√41)/-5
Cot θ = 5/4
Step-by-step explanation:
Now, we are given the point (-5, -4)
These are x and y points.
They will form a triangle and we know that from pythagoras theorem;
x² + y² = r²
Where r is the distance between the point and the origin
Thus;
r² = (-5)² + (-4)²
r² = 25 + 16
r = √41
So, y is the opposite side of the triangle while x is the adjacent side with r being the hypotenuse.
Thus, the trigonometric ratios are;
Sin θ = opp/hyp = -4/√41
Cos θ = adj/hyp = -5/√41
tan θ = opp/adj = -4/-5 = 4/5
Cosec θ = 1/Sin θ = 1/(-4/√41) = (√41)/-4
Sec θ = 1/cos θ = 1/(-5/√41) = (√41)/-5
Cot θ = 1/tan θ = 1/(4/5) = 5/4
Answer:
Its the first one -13 1/2
Step-by-step explanation:
Answer:
Independent events are those that do not depend on others. Two entities does not depend on each other. The change in one entity does not change the other.
So, independent events here are-
1. rolling a number cube twice.
2. flipping a coin 4 times.
3. choosing a meal combination.
Rest two options are dependent on each other.
Answer:
24
Step-by-step explanation:
Varies directly means that something constant times l equals V or V=kl where k is that constant.
Plug in point given 288=k(12) and solve the constant of proportionality by dividing both sides by 12.
k=288/12=24
Answer:
21 miles
Step-by-step explanation:
104.55 - 4.80 = 99.75
99.75/4.75 = 21
21 miles
