2 cot²(t ) sin(t ) - cot²(t ) = 0
cot²(t ) (2 sin(t ) - 1) = 0
cot²(t ) = 0 or 2 sin(t ) - 1 = 0
cot(t ) = 0 or sin(t ) = 1/2
cos(t ) / sin(t ) = 0 or sin(t ) = 1/2
cos(t ) = 0 or sin(t ) = 1/2
[t = cos⁻¹(0) + 2nπ or t = cos⁻¹(0) - π + 2nπ]
or [t = sin⁻¹(1/2) + 2nπ or t = π - sin⁻¹(1/2) + 2nπ]
(where n is any integer)
t = π/2 + 2nπ or t = -π/2 + 2nπ or t = π/6 + 2nπ or t = 5π/6 + 2nπ
Note that the first two families of solutions overlap and can be condensed, so that
t = π/2 + nπ or t = π/6 + 2nπ or t = 5π/6 + 2nπ
65 decreased by twice a number
Solve 2 sin 20 - tan 20 = 0 for 0 in [0°, 360°).
Any help would be really appreciated!
Answer:
Step-by-step explanation:
If there is a character you cannot type, such as θ, you are better off substituting a different letter, or describing it in words. For example, write it as "sinA" or "sin(theta)"
Never use 0 as a substitute for θ! 0 is a constant with a specific value.
Since the argument of the trig functions is an expression, you should put parentheses around it: sin(2A).
:::::
I used several trigonometric identities for this question:
Double-angle formula for sine: sin(2θ) = 2sinθcosθ
Double-angle formula for tangent: tan(2θ) = 2tanθ/(1-tan²θ)
Quotient identity: tanθ = sinθ/cosθ
Reciprocal identity: secθ = 1/cosθ
Pythagorean identity: 1+tan²θ = sec²θ
2sin(2θ) - tan(2θ) = 0
2sin(2θ) = tan(2θ)
2·2sinθcosθ = 2tanθ/(1-tan²θ)
2sinθcosθ = tanθ/(1-tan²θ)
2sinθcosθ = (sinθ/cosθ ) · 1/(cosθ(1-tan²θ))
2(1-tan²θ) = 1/cos²θ
2(1-tan²θ) = sec²θ
2-2tan²θ) = 1+tan²θ
1 = 3tan²θ
tan²θ = ⅓
tanθ = ±1/√3
θ = 30°, 330°
Find the area of the figure.
A)
30 cm
B)
36 cm?
42 cm?
D
48 cm
12
2
Answer:
oop
Step-by-step explanation:
Tell me how you solve this and ill mark you brainlist
Step-by-step explanation:
use this formula
:))))))
Answer:
5 years
T= 100× I = 100×10
P×R= 100× 2= 500
Remove the zeros = 5years
Write the equation in slope-intercept form. y + 5 =- 6(x + 7)
( 15n2 - 5n + 45 ) ÷ 5
I'm assuming we need to simplify this expression. (Tip when you are writing n squared, please write n^2, not n2.)
Since we can see that there is a 5 in each term inside the ( ), we simplify have to remove that if the whole thing is going to be divided by 5.
Answer:
(15n^2-5n+45)/5
=3n^2-n+9
Answer:
3n^2-n+9
Step-by-step explanation:
You would want to divide the 5 between each of the terms. 15n^2 ÷ 5 is 3n^2. 15 ÷ 5 is 3. The n^2 stays, so 3n^2. -5 ÷ 5 is -1. We don't have to worry about writing the -1. Rather, just write the -n, it is the same as writing -1n. Lastly, 45 ÷ 5 is 9. You have to put the terms together in standard form. Standard form is just writing the numbers from greatest power to least power. The 3n^2 would come first since 2 is the greatest power. Next would be the -n, and lastly the 9. The 9 is the constant, which always comes last. A constant would be a number without a variable after it, like 2x is not a constant but just 2 is. Therefore, the answer is 3n^2-n+9.
Help!!!! Cause this is my bro work
Answer:
E
Step-by-step explanation:
467.4 + 0.492 =
PLS HELP
Answer:
467.892
Step-by-step explanation:
467.4+0.492 =467.892
467.892
hope it helps you.
Which of the following formulas could be used to determine the surface area of a cylinder sandwiched between one cone and half of a sphere?
50 POINTS!
Answer:
I'm sorry if im wrong but I'm thinking option 2 4 and 6
Answer:
I think it's options 2, 3, and 4
Hope it helps, sorry if I'm wrong :)
Is the product of 12 and
3/4
more or less than 12? Explain your answer In complete sentences.
Answer: The product of 12*3/4 is less than 12
Step-by-step explanation: I can see this right from the start by noticing that to be at least 12, then 12 would have to be multiplied by at minimum 1 meaning 12*1=12 anything less than 1 would result in a lesser value than 12
Polynomial long division problem 25 points
Answer:
this is the simplify answer
2x^3−5x^2+x−10/ x^2−4x+1
Step-by-step explanation:
hope i helped
How do I solve this? Please and thank you!
The world record for running the marathon is about 26 miles in 130 minutes. How long would a runner at that speed take to run 9 miles?
Suppose I have a wooden cube, which I then split into eight equal pieces. If I give you two of those pieces, and then give you three more, what fraction of the original cube do I have left? Express your answer in decimal form.
Answer:
.625
Step-by-step explanation:
Since the amount of pieces are 8, and you gave 5 away, you have to divide 5 by 8. This gives you .625
Answer:
0.375
Step-by-step explanation:
You would have 3/8 of the original cube left. 0.375 in decimal form.
i will give brainliest to the right answer:)
Answer:
3/8
Step-by-step explanation:
Luis makes $23.10 per hour at his job for the first 40 hours he works each week. If he works more than 40 hours, then Luis makes $34.65 per hour. If Luis works 46 hours in one week, how much does he earn?
a.
$1,062.60
b.
$1,097.25
c.
$1,131.90
d.
$1,593.90
Answer:
[tex]Pay = \$1593.90[/tex]
Step-by-step explanation:
Given
[tex]Rate = \$23.10[/tex] --- first 40 hours
[tex]Rate = \$34.65[/tex] --- more than 40 hours
Required
Determine his pay for 46 hours
46 hours is greater than 40 hours. SO, we use the second rate to calculate is earnings.
[tex]Pay = Rate_2 * 46[/tex]
[tex]Pay = \$34.65 * 46[/tex]
[tex]Pay = \$1593.90[/tex]
Hence, his earnings is (d) $1,593.90
Answer:
Luis makes $23.10 per hour at his job for the first 40 hours he works each week. If he works more than 40 hours, then Luis makes $34.65 per hour. If Luis works 46 hours in one week, how much does he earn?
a. ) $1,062.60
b. ) $1,097.25
c. ) $1,131.90
d. ) $1,593.90 <<<Correct
Step-by-step explanation:
Edge 2021
Use the map shown. Each grid on the map represents 1 city block.
Yoko walks from the library to the mall. How many city blocks does she walk?
Yoko walks ___ blocks.
Answer:
it is a reflection
the points are 8 units apart
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-Lil G
Answer:
i thinks it 8 blocks!! sorry if im wrong
Is there
a way to place 29 books on shelves so
that each shelf has the same number of books,
with more than one book on each shelf?
Explain.
Answer:
no
Step-by-step explanation:
no because 29 is a prime number, meaning its only factors are 1 and 29. if you were to have more than 1 book on each shelf then you would go into half and quarters of books.
Answer:
29 is only divisible by 1 and 29
so
you could either do one on each shelf or all 29 on one shelf
Please help and no the answer is not 19.575
Answer:
do you need to simplify the answer? because if so... its $19.57 i dont know what you dont get so please explain to me
Step-by-step explanation:
what's 0.4 divided by 0.242
Answer:
the answer is 1.65
Step-by-step explanation:
i hope this helps
Answer:
1.65289
Step-by-step explanation:
Which choice shows the product of 22 and 49?
Product of 22 and 49 is
(22)(49) = 1078
Option C
Given :
the product of 22 and 49
Explanation :
We need to find which option is correct to find product of 22 and 49
Product mean multiplying the numbers
so we need to multiply 22 and 49
22
49
----------
198
88
-------------
1078
So the product of 22 and 49 is 1078
(22)(49)=1078
Option C is correct
Evaluate the expression for m = 2.
-26
Answer:
-13?
Step-by-step explanation:
If m = 2, then.. -26/2 = -13
Answer:
-13
Step-by-step explanation:
I think its -13
In ATUV, the measure of V=90°, the measure of ZT=55, and VT = 56 feet. Find the
length of TU to the nearest tenth of a foot.
Answer: 97.6 feet
Step-by-step explanation:
Help help (12 points)
Answer:
2m+2m
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
m+m+m+m=4m
4m-2m=2m
_m=2m
2
What is 5/12 of 7/8?
Answer:
35/96
Step-by-step explanation:
Simplify (7ty)(3t)
(answer fast please)
Answer:
I think they are correct
is this a function { (1,4), (2,5), (-1,3), (8,7), (2,2) }
Answer:
no because the 2 in the x-value repeat
Step-by-step explanation:
Answer:
no.
each input (x) can only have one output (y) for it to be a function
2,5 and 2,2 could not be in the same table if it were a function.
(could you give me brainliest please? I'm one away from leveling up)
help pleaseeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The Answer is A. (0,9) hope I helped you
The product of twice a number and five is the same as the difference of nine times the number and 3/4. Find the difference
Answer:
I think the answer is -3/4
Step-by-step explanation:
Let x = a number
(2x)(5) = 9x - (3/4)
10x = 9x - (3/4)
Subtract 9x on both sides of equation.
x = -3/4
Larry sometimes leaves garbage on top of the lunch tables at school and assumes the janitor will pick it up. Does this action show good citizenship? Explain your answer.
Answer:
No, this is not showing good citizenship.
Step-by-step explanation:
I said no because Larry is assuming that the janitor will pick it up for him, which is only giving the janitor more work to do. So Larry's action, therefore, does NOT show good citizenship. UwU