Answer:
sec ∅ = 5/4
cosec ∅ = -5/3
cot ∅ = -4/3
Tan ∅ = - 3/4
sin ∅ = -3/5
cos ∅ =4/5
Step-by-step explanation:
Given : -4y = 3x , x > 0
i.e. 3x + 4y = 0 , x >0
4y = -3x ∴ y = - 3/4 x
<u>The values of trigonometric functions of ∅ are </u>
Tan ∅ = opposite / adjacent
= - 3/4 ( given that y = slope which is = Tan ∅ )
now we will find the hypothenuse ( c )
c^2 = a^2 + b^2 = 9 + 16 = 25
therefore ; c = √25 = 5
hence the trig functions are :
sin ∅ = -3/5
cos ∅ =4/5
sec ∅ = 5/4
cosec ∅ = -5/3
cot ∅ = -4/3
<h3>
Answer: C) x = 13</h3>
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Work Shown:
We have a right triangle with legs a = 5 and b = 12. The hypotenuse is c = x which is unknown for now.
Use the pythagorean theorem to find x.
a^2 + b^2 = c^2
5^2 + 12^2 = x^2
25 + 144 = x^2
169 = x^2
x^2 = 169
x = sqrt(169) .... apply the square root to both sides
x = 13
B=1
5(b-4)+25=5x6-5x4
5b-20+25=30-20
5b+5=10
5b=5
B=1
Answer:
<u>Diagram is not so perfect</u>
<u>OR = distance travelled by the jet plane</u><u>.</u>
Step-by-step explanation:
Let point J be the jet plane and OJ be the constant height at jet plane is flying and OR be the distance jet plane is travelling.
h =

Now,
From the figure i drew (1st)
taking 60 as reference angle,
tan60° = p/b
or,


so, b = 1700m
inital distance = 1.7km(OR)
now,
tan 30 = p/b

so, b = 5100 m
so, final distance = 5.1 km(OR)
Now,
distance travelled = final distance - initial distance
distance travelled = 5.1 km - 1.7km
distance travlled = 3.4 km
Now,
time = 17 seconds
= 0.00472 hour.
Now,
speed = d/t
or, speed = 3.4/0.00472
so, speed = 720.3389km/hr
so, speed = 720 km/hr approximately
Answer:
D. whole numbers, integers, and rational numbers
hope it helps