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Answer:
[tex]to \: know \: the \: answer[/tex]
[tex]refer \: to \: the \: above \: attatchment[/tex]
Hope this helps !!
Trigonometric identities are used to prove or disprove trigonometric ratios
The trigonometry identity is given as:
[tex]\frac{\cos(\pi + x) \cos(-x)}{\sin(\pi - x) \cos(\frac{\pi}{2} + x)} = \cot^2x[/tex]
Simplify the trigonometry identity, as follows:
[tex]\frac{-\cos(x) \cos(x)}{\sin( x) \cdot - \sin( x)} = \cot^2x[/tex]
This is so because:
[tex]\cos(\pi + x) = -\cos(x)[/tex]
[tex]\cos(-x) = \cos(x)[/tex]
[tex]\sin(\pi -x) = \sin(x)[/tex]
[tex]\cos(\frac{\pi}{2} + x)} = -\sin(x)[/tex]
So, we have:
[tex]\frac{-\cos(x) \cos(x)}{\sin( x) \cdot - \sin( x)} = \cot^2x[/tex]
Evaluate the products
[tex]\frac{-\cos^2(x)}{-\sin^2(x)} = \cot^2x[/tex]
Cancel out the common factors
[tex]\frac{\cos^2(x)}{\sin^2(x)} = \cot^2x[/tex]
Rewrite the trigonometry identity, as follows:
[tex](\frac{\cos(x)}{\sin(x)})^2 = \cot^2x[/tex]
In trigonometry,
[tex]\frac{\cos(x)}{\sin(x)} = \cot x[/tex]
So, we have:
[tex](\cot(x))^2 = \cot^2x[/tex]
Remove the bracket
[tex]\cot^2x = \cot^2x[/tex]
The above equation is true.
Hence, [tex]\frac{\cos(\pi + x) \cos(-x)}{\sin(\pi - x) \cos(\frac{\pi}{2} + x)} = \cot^2x[/tex] has been proved
Read more about trigonometric identities at:
https://brainly.com/question/7331447
Related Questions
the picture i need help with this answer. the problem is in the picture
Answers
Answer:
Step-by-step explanation:
Solve for t. 3t - 18 = 4(-3-3/4t). t=
Answers
Answer:T=1
Step-by-step explanation:
Answer:
t = 1
Step-by-step explanation:
Write the equation through (2,5) parallel to the line through (8,0) and (0,8)
Answers
Answer:
y = -x + 7
Step-by-step explanation:
As we move from (8, 0) to (0, 8), we see x decreasing by 8 ('rise') and y increasing by 8 ('run'). Thus, the slope of this line is m = rise/run = 8/(-8) = -1.
Starting from y = mx + b and substituting 8 for x, 0 for y and -1 for m, we get:
0 = -1(8) + b, or b = 8
Then the equation of the line through the two given points is y = -x + 8. Any line parallel to this one has the same slope: m = -1.
Repeat the above work to find the y-intercept of the line parallel to y = -x + 8 that goes through (2, 5):
5 = -2 + b, or b = 7
Then the desired line (final answer) is y = -x + 7
HELP PLEASE!! What are the answers, say the answers to the blanks and if you can please try to explain it please i failed algebra 3 times and i really need help
Answers
Answer:
step: 4(x-24x)to the power of 2 = 3-7 or -4
Step-by-step explanation:
solution: solve it
would love to have a second opinion, this is what i got.
Hi this is algebra math. It’s been a while since I’ve been on this app but I need some help on if the problem graphed the slope right or wrong.
Answers
are these equations equal ?
1. 5x^2 + 15 and 5 (x^2 + 3 )
2. 3y^2 + 6x^2 and 3 (y^2 + 2x^2)
Answers
explanation:
for the first one, you can factor out a 5 leaving you the same answer as the other one
and for the second one, you can factor out a 3, leaving you the same answer
hope it helps!
Commercial agents earn 5% of the cost of each product they sell. If an agent earns
S2000 for selling a product, what was the cost of the product?
Answers
Based on the information the cost of the product is $40,000.
Given:
Percentage earn=5% or 0.05
Amount earned=$2,000
Let x represent the cost of the product
Hence:
Formulate
.05x = $2000
Divide both sides by .05
x=$2,000/.05
x=$40,000
Inconclusion the cost of the product is $40,000.
Learn more about cost here:https://brainly.com/question/824281
Find the value of 3a^2+2b, If a=3 and b = 4.
An explanation would be great.
Answers
Answer:
=35
Step-by-step explanation:
3(3) ^2 + 2(4)
= 3(9) + 8
= 35
Where you see a, substitute with 3 and where you see b, substitute with 4
Just follow the steps above.
[tex]\\ \sf\Rrightarrow 3a^2+2b[/tex]
[tex]\\ \sf\Rrightarrow 3(3)^2+2(4)[/tex]
[tex]\\ \sf\Rrightarrow 3(9)+8[/tex]
[tex]\\ \sf\Rrightarrow 27+8[/tex]
[tex]\\ \sf\Rrightarrow 35[/tex]
The function f(x) is graphed below. Determine whether the degree of the function is
even or odd and whether the function itself is even or odd.
Answers
Answer:
even
Step-by-step explanation:
Plzzzz help mee plzzzzz plzzzzz
Answers
Answer:
1. B
2. Seven Hundred thousand nine hundred and four
Step-by-step explanation:
what is the answer to Lora read 1/8 of a comic book in 2 days she read the same number of pages everyday what part of the book does she read in a week? and how to show the work
Answers
Answer:
7/16 of book
Step-by-step explanation:
1/8 book in 2 days means Lora reads 1/16 book every day
In 1 week (7 days), Lora reads 7 x 1/16 = 7/16
Yao bought 3 feet of blue ribbon and
24 inches of red ribbon. The ribbon costs
$2.00 per foot. What is the total cost of
the ribbon?
Answers
Answer:
It would've costed $8 to buy these ribbons.
Step-by-step explanation:
Given:
3 feet of blue ribbon = 36 inches of blue ribbons2 feet of red ribbon = 24 inches of red ribbons\1 foot of ribbon = $2(3 + 2) x 2 = Total cost
=> (5) x 2
= $10
Therefore, it would've costed $10 to buy these ribbons.
Hoped this helped.
How many solutions does this equation have?
–2b − 9 = –b
Answers
Answer:
b= -3
b=3/2=1.500
Step-by-step explanation:
step 1 . b • (2b + 3) - 9 = 0
Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is 3 .
-18 + 1 = -17
-9 + 2 = -7
-6 + 3 = -3
-3 + 6 = 3
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 6
2b2 - 3b + 6b - 9
Step-4 : Add up the first 2 terms, pulling out like factors :
b • (2b-3)
Add up the last 2 terms, pulling out common factors :
3 • (2b-3)
Step-5 : Add up the four terms of step 4 :
(b+3) • (2b-3)
what does it mean when the will says tomorrow it's ashes will be scattered to the four winds in the westing game
Answers
Answer:
In the document, Westing names the sixteen heirs present as his “nieces and nephews” and says that tomorrow his ashes “will be scattered to the four winds.” He then asserts that his life has been taken by one of his heirs, and he promises that the heir who finds something will receive the inheritance
Step-by-step explanation:
Westing names the sixteen heirs present as his “nieces and nephews” and says that tomorrow his ashes “will be scattered to the four winds.” He then asserts that his life has been taken by one of his heirs, and he promises that the heir who finds something will receive the inheritance.
What are the main events in The Westing Game?The main events in the Westing Game include moving into Sunset Towers, the Halloween dare, the reading of Samuel Westing's will, and the pairing of teams. Finally, the solving of clues and ultimately solving the puzzle.
Who Wins The Westing Game?Several years after that, Turtle stays with Sandy/Westing (as Eastman) while he really dies. She finally wins the prize and goes to play chess with her niece Alice.
Learn more about the Westing Game here: brainly.com/question/16545687
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pls pls pls help!! will mark brainliest
Answers
I hope this right
A bag of 12 oranges weighs 4 1/2 pounds, if the oranges are about the same size, how many pounds does each orange weigh
25 POINTS
Answers
0.385
Take the weight of the bag and divide it by the number of oranges in the bag (12) which is:
4.5 / 12 = 0.385
Each orange weighs 0.385 pounds.
.hope this helps!
One oval weighs how much
Answers
Answer:
5.5
Step-by-step explanation:
11 divided by 2 is 5.5
Estimate a 15% tip on a dinner bill of $32.43 by first rounding the bill amount to the nearest ten dollars.
Answers
Answer:
Estimate Tip = $4.50
Step-by-step explanation:
The bill to the nearest $10 is $30.00 : ( $ 30 ($32.43) $40, it is nearer to $30
Estimate Tip = Bill rounded to the nearest $10 × Tip %
Estimate Tip = $30 × 15%
Estimate Tip = $30 × .15 (15% change to a decimal is .15)
Estimate Tip = $4.50
Solve for percent change: On Monday, Cynthia raised $75 for her charity.
On Tuesday, Cynthia raised $95 for her charity. What is the approximate
percent change? *
Answers
Let p = percent change
p = (new amount)/(original amount) • 100
p = (95 - 75)/75 • 100
p = 20/75 • 100
p = 26.666667
p = 26.6%
Done.
Rachel baked a pie with an area of 94.985 square inches. She gave away a slice of pie with an area of 13.56 square inches. Find the central angle measure of the slice. Numerical answer round to the nearest degree.
Answers
It is 103.68 degrees :)
What is the solution for -10 < x - 9?
x > -19
x < -1
x < -19
x > -1
Answers
Answer:
x > - 1
Step-by-step explanation:
- 10 < x - 9 ( add 9 to both sides )
- 1 < x , therefore
x > - 1
Answer:
x > -1
Step-by-step explanation:
why:
-10 < x-9 for exemple 2< 3
x-9 > -10 3 > 2
just add 9 to both sides
x-9 +9 > -10 +9
x > -1
meth2
x-9 > -10
x > -10 +9 left to right
x> -1
On a coordinate plane, a parabola opens up. It goes through (negative 8, negative 2), has a vertex at (negative 5, negative 6.5), goes through (negative 2, negative 2), and has a y-intercept at (0, 6).
Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?
(–6.5, ∞)
(–5, ∞)
(–∞, –5)
(–∞, –6.5)
Answers
Answer:
The top oneStep-by-step explanation:
Hope it helpsWhat is 3/7 + 4/18 estimated
Answers
Answer:
41/63
Step-by-step explanation:
41/63 can't be simplified
Answer:
3/7+4/18=41/63
Step-by-step explanation:
3/7=3x18/7x18=53/126
4/18=4x7/18x7=28/126
54/126+28)126=54+28/126=82/126
82/126
simplify
41/63
PLEASE FILL IN BLANK I WILL MARK AS BRAINLIEST
Let f(2)=32 and g(x) = ID.
Use the composition of functions to determine if f(x) and g(2) are inverse functions.
Drag and drop the answers into the boxes to correctly complete each statement.
f(g(x)) =
()
9(f(x))
) =
The function f(x)
the inverse of g(x)
Answers
Answer:
[tex]\sqrt[3]{x}[/tex]
[tex]x^3[/tex]
is
Step-by-step explanation:
find the zeros of the function f(x) = (x+3)^2-4=0
Answers
Answer:
[tex]x=-1[/tex] and [tex]x=-5[/tex]
Step-by-step explanation:
[tex]f(x)=(x+3)^2-4[/tex]
[tex]0=(x+3)^2-4[/tex]
[tex]0=(x^2+6x+9)-4[/tex]
[tex]0=x^2+6x+5[/tex]
[tex]0=(x+1)(x+5)[/tex]
[tex]x=-1[/tex] and [tex]x=-5[/tex]
Answer:
[tex]x=-1,\:x=-5[/tex]
Step-by-step explanation:
Solve the equation:
[tex]f(x)=\left(x+3\right)^2-4=0[/tex]
[tex]\left(x+3\right)^2-4=0[/tex]
[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]
[tex]\left(x+3\right)^2-4+4=0+4[/tex]
[tex]\left(x+3\right)^2=4[/tex]
[tex]x+3=\sqrt{4}:x=-1[/tex]
[tex]x+3=\sqrt{2^2}[/tex]
[tex]x+3=2[/tex]
[tex]x+3-3=2-3[/tex]
[tex]x=-1[/tex]
[tex]x+3=-\sqrt{4}:x=-5[/tex]
[tex]x+3=-\sqrt{4}[/tex]
[tex]x+3=-2[/tex]
[tex]x+3-3=-2-3[/tex]
[tex]x=-5[/tex]
Now, look at the points plotted on the graph:
(-8, -7); y = - 3x + 2
write an equation for The Line in slope Intercept form
Answers
Answer:
y=-3x^2+2x+201
Step-by-step explanation:
3. * + 6 = 10 (1 point)
5
044
30
O20
0-20
Answers
Step-by-step explanation:
I think its b.30 but I'm not sure
how do u find the order of operations of 8×3+70÷7-7
Answers
Help me ;-;
Find (2)(‐3)
Answers
Would be your answer
What is the slope of the following line?
Answers
The slope of the line is 1/-2
You only have to rise one time, then go over to the left two times in order to get to another point.