Explanation:
On taking LHS
Cos[(3π/2)+θ]Cos(2π+θ)[Cot{(3π/2)-θ}+Cot(2π+θ)]
We know that
π = 180°
2π = 2×180° = 360°
3π/2 = (3×180°)/2 = 540°/2 = 270°
Now
LHS becomes
Cos(270°+θ)Cos(360°+θ)[Cot(270°-θ)+Cot(360°+θ)]
We know that
Cos (270°+θ) = Sin θ
Cos (360°+θ) = Cos θ
Cot (270°-θ) = Tan θ
Cot (360°+θ) = Cot θ
→ Sin θ Cos θ [Tan θ + Cot θ]
→ Sinθ Cosθ[(Sinθ/Cosθ)+(Cosθ/Sinθ)]
→ Sinθ Cosθ[(Sin²θ+Cos²θ)/(SinθCosθ)]
→ Sin θ Cos θ [1/(Sin θ Cos θ)]
Since Sin²θ+Cos²θ = 1
→ (Sin θ Cos θ)/(Sin θ Cos θ)
→ 1
→ RHS
→ LHS = RHS
Hence, Proved.
Here are the formulae that I have used:
→ π = 180°
→ Cos (270°+θ) = Sin θ
→ Cos (360°+θ) = Cos θ
→ Cot (270°-θ) = Tan θ
→ Cot (360°+θ) = Cot θ
Here are the Trigonometric Identities that I have used:
→ Sin²θ+Cos²θ = 1
Hope this helps!!
Find the measures of the angles of a right triangle with one angle whose measure is 10
Answer:
10, 80 and 90 degrees.
Step-by-step explanation:
The third angle will 90 - 10 = 80 degrees.
9/6 × 4/5
1
) 36/11
) 6/5
) 32/30
) 13/15
Answer:
6/5
Step-by-step explanation:
9×4=36
6×5=30
36/30÷2
18/15÷3
6/5
6.
Find the area of a rectangle with
length 2x - 7 and width 3x +4.
Answer:
[tex]A=6x^{2} -13x-28[/tex]
Step-by-step explanation:
A=L(W)
A=2x-7(3x+4)
Use distributive property
[tex]A=6x^{2} +8x-21x-28[/tex]
Combine like terms
[tex]A=6x^{2} -13x-28[/tex]
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.
Please show ur work
Answer:
x = 11.2 mi
Step-by-step explanation:
[tex]c^{2} = a^{2} + b^{2}\\(14.4)^{2} = (9)^{2} + b^{2}\\207.36 - 81 = b^{2} \\126.36 = b^{2}\\\sqrt{126.36} = b\\b = 11.2[/tex]
___________
[tex] \: [/tex]
[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]
Step by step :x² = (14,4)² - (9)²
x² = 207,36 - 81
x² = 126,36
x = 11,2mi✔
Which graph shows y=x^2+3x-4
Answer:
Third graph in the photo
Step-by-step explanation:
x^2+3x-4 can be factored as (x+4)(x-1). When y=0, x must be -4 or 1 to satisfy the equations, and thus the roots of the graph are at x=-4 and x=1. When x=0, y=(4)(-1)=-4. The only graph that satisfies both of these requirements is the third/last one.
Tìm hàm số bậc nhất,biết đồ thị đi qua điểm (3;−2), song song với đường thẳng
′:3−2+1=0
20234555446698382636
Help With this Math Problem!
Answer:
84
Step-by-step explanation:
1110 = 150 + (15 * 64)
150 is 20 cameras, so we get 64 + 20 = 84 cameras
Answer:
93 cameras
Step-by-step explanation:
it's actually 92.6666666667 but i rounded
The sum of half of a number and 8 less
than the number is 25. Find the number.
Answer:
The number is 22
Step-by-step explanation:
let x = the number
[tex] \frac{1}{2} x + x - 8 = 25 \\ \frac{1}{2} x + x - 8 + 8 = 25 + 8 \\ \frac{1}{2} x + x = 33 \\ factor \: out\: x \: on \: the \: left \\ x( \frac{1}{2} + 1) = 33 \\ divide \: both \: sides \: by \: \frac{1}{2} + 1 \\ \frac{x( \frac{1}{2} + 1) }{ \frac{1}{2} + 1} = \frac{33}{ \frac{1}{2} + 1} \\ x = \frac{33}{ \frac{3}{2} } \\ x = \frac{66}{3} \\ x = 22[/tex]
let's factor out x from the left hand sid
Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.
Answer:
letter A
Step-by-step explanation:
because that's my favorite letter
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Mya says the value of 6 in 0.006 is 1-10 of the value of 6 in 0.6. Is the correct?
Answer:
no, it is incorrect it is 1-100 the value
Step-by-step explanation:
0.006×10= 0.06
0.006×100=0.6
let (3x+24) represent the measure of a right angle. what are the possible values of x?
Answer:
x=22
Step-by-step explanation:
because 3x+24=90
3x=90-24
3x=66
x=22
brainlist please
Rewrite each of the following expressions using either a generic rectangle or the Distributive Property
Answer:
a) -8yx-20y
b) -6x ² - 3xy - 16x -2y - 8
Step-by-step explanation:
a) -4y(2x+5) apply multiplicative distribution law
-4y × 2x - 4y × 5 multiply the monomials
-8yx - 20y
b) kinda the same steps like a
:) distributive property btw
hope it helps if you need the steps for b I'll send them in the comment
3. Write the explicit definition for the sequence given
Answer: You did not give a sequence so I cannot help you.
Step-by-step explanation: try to copy and paste the entire sequence.
Given the definitions of f(x)f(x) and g(x)g(x) below, find the value of (f\circ g)(2).(f∘g)(2). f(x)= f(x)= \,\,-5x-11 −5x−11 g(x)= g(x)= \,\,2x^2+2x-5 2x 2 +2x−5
7/8 divided by 2 1/4
Answer:
7/18
Step-by-step explanation:
2. What is the value of the pass after 15 rides?
# of Rides Bus Pass Value Rule
0 $100.00
1 $98.25
2 $96.50
3 $96.75
15 ??? $73.75 ??? Is my answer 73.75 right? If not does anyone know the correct answer
!plz help!
Answer:
im really confused. but its 2,75$ per pass?/ride? sorry i cant help much
Step-by-step explanation:
Mark did 2/5 of a job and Alan did 1/3 of the remainder. The fraction of the job left undone
Find the slope of the line passing through each of the following pairs of points and draw the graph of the line. (-2,3), (5, 5)
There isn't any graph example but I need help!!! i will award 10 brainiest
Answer:
Slope: 2/7
Step-by-step explanation:
y2 - y1/ x2 - x1 = 2/7
Anna's car can go 180 miles on 5 gallons of gas. During a drive last weekend. Ann used 8 gallons of gas. How far did she drive?
Answer:
Ann drove miles
Step-by-step explanation:
You have to do 180 / 5 = 36 wich is how many miles is in 1 gallon
Then you do 36x8 = 288
Hope this helps !!
Have a blessed day <333
Find last year's salary if, after a 5% pay raise, this year's salary is 35,175
Answer:
Step-by-step explanation:
x + 0.05x = 36225
x(1 + 0.05) = 36225
x*1.05 = 36225
by solving we find:
x = $34,500
What are the y-intercept and the slope of the graph of the
following equation?
-2x + 4y = 8
Answer:
slope=2/4 or 1/2
Y-Intercept=8
Step-by-step explanation:
-2x+4y=8
+2x both sides
4y=2x+8 /4
y=2/4x+8
Slope=2/4 or 1/2
Y-Intercept=8
A. 6
B. 7
C. 12
D. 24
Answer:
A
Step-by-step explanation:
If you count, the number is 12. Then divide that number by 2. You get 6.
[you divide by 2 because you need to find the average. i rlly don't know how to explain better]
Answer:
The answer is A.
6
Several students form a circle by standing next to each other. Samantha and Aaron are directly across from each other and are approximately 30 feet apart. If each student takes about about 4 ft of the circle. How many students are in the circle?
pls help
Answer:
about 24 people in the circle
Step-by-step explanation:
find circumfrence using pi r squared which is 94 and divide by 4 which is the distance between students
Work out the area of a rectangle with base,b= 32mm and perimeter,P= 78mm.
Answer:
224
Step-by-step explanation:
b = 32, h = 7 is the solution to P = 78. Hence, 7*32 = 224 is the answer
Directions: Find the specified term of the geometric sequences given the first term and the common ratio.
Step-by-step explanation:
As you know
[tex] a_{n} = a_{1} \times {r}^{n - 1} [/tex]
1.
[tex]3 \times {3}^{4} = {3}^{5} \\ 3 \times {3}^{6} = {3}^{7} \\ 3 \times {3}^{8} = {3}^{9}[/tex]
2.
[tex]2 \times {2}^{4} = {2}^{5} \\ 2 \times {2}^{6} = {2}^{7} \\ 2 \times {2}^{8} = {2}^{9}[/tex]
3.
[tex] - \frac{1}{2} \times {( - 6)}^{4} = { \frac{ - 1}{2} } \times {6}^{4} \\ - \frac{1}{2} \times {( - 6)}^{6} = { \frac{ - 1}{2} } \times {6}^{6} \\ - \frac{ 1}{2} \times {( - 6)}^{8} = { \frac{ - 1}{2} } \times {6}^{8} [/tex]
___1.which of the following illustrate the union of two sets
___2.which of the following represent the intersection of two sets
___3.which of the following is the factored form x³ + 4x²+4x+16
Answer:
I am going to say 3. but not 100% if it right let me know
70+2e+3e=180° answere me
Answer:
2e+3e=180-70
5e=110
e=110÷5
e=22
Can someone please help me w/ this I need to plot the points on the graph (picture provied) then the answer is where ever the points met on the graph. ( please draw a line were they met u can screen shot the photo)
THE ANSWER IS SUPOSE TO LOOK LIKE THIS ( ___,___) IXL cc.2 8th grade
Answer:
-6,-6 because -7x-1 would be -6x
Step-by-step explanation:
Express 0.1345345... using bar notation
Answer:
0.1345
Step-by-step explanation:
The bolded numbers are what is barred
345 is constantly repeated so that is what would be barred as that repeats for ever
Answer:
3/1345
Step-by-step explanation:
