The final simplified form is (1 - cos²(t)) / cos⁴(t).
To simplify tan(t)sec(t)tan(t)sec(t) to a single trig function with no fractions, follow these steps:
Step 1: Recall the definitions of tan(t) and sec(t)
tan(t) = sin(t)/cos(t)
sec(t) = 1/cos(t)
Step 2: Substitute the definitions into the expression
tan(t)sec(t)tan(t)sec(t) = (sin(t)/cos(t)) * (1/cos(t)) * (sin(t)/cos(t)) * (1/cos(t))
Step 3: Simplify the expression
(sin(t)/cos(t)) * (1/cos(t)) * (sin(t)/cos(t)) * (1/cos(t)) = sin(t) * sin(t) / (cos(t) * cos(t) * cos(t) * cos(t))
Step 4: Rewrite using trigonometric identities
sin²(t) / cos⁴(t) = (1 - cos²(t)) / cos⁴(t)
This expression cannot be simplified further to a single trig function without fractions. The final simplified form is (1 - cos²(t)) / cos⁴(t).
To know more about trigonometric identities, refer to the link below:
https://brainly.com/question/31837053#
#SPJ11
What is the ratio of new books to used books?
15 books 7 of these books are new . The rest of them are used
Answer:
7 to 8
Step-by-step explanation:
7-15=8
A driver stopped to purchase 27 gallons of gas and paid $62.10. What is the unit rate for gas?
$_______per gallon
Answer:
Each gallon of gas was $2.30
Step-by-step explanation:
Chad likes to play Bingo at the nearby American Legion Hall. One day he goes into the hall with $14 in his pocket. When he comes out, he has no money left and owes his friend Greg $3.
1. How much money did Chad lose that night?
2. At home, Chad finds $5 in the kitchen drawer. If you include the $3 he owes Greg, how much does Chad have, total?
Answer:
1. $17
2.$2
Step-by-step explanation:
Answer:
1)14+3=17
2)5-3=2
how do i solve these using substitution
Answer:
Step-by-step explanation:
point form:
(3,4)
equation form:
x= 3, y= 4
find x=, if x-5=10 HURRY!!!!
PHYSICS
12 people are on the elevator to a height of 120 m. The average mass per person is 50 kg. What work does the lift engine do?
Answer:
720000 J
Step-by-step explanation:
The formula is
Work = Force * Distance
Here we have the weight force, which is calculated as w = m * g
acceleration of gravity (g) ≈ 10 m/s
people's mass (m) = 12 * 50 kg = 600 kg
So Force = 10 m/s * 600 kg = 6000 N
Distance = 120 m
Work = Force * Distance = 6000 N * 120 m = 720000 J = 720 kJ
6=2(y+2) y=?
please help
==========================================================
Explanation:
There are two ways to solve this
The first method will have us distribute the 2 through to each term, then we solve for y
6 = 2(y+2)
6 = 2y+4 .... distribute
2y+4 = 6
2y = 6-4 .... subtract 4 from both sides
2y = 2
y = 2/2 .... divide both sides by 2
y = 1 is the answer
-------------
Or we can solve through this set of steps
6 = 2(y+2)
6/2 = y+2 ...... divide both sides by 2
3 = y+2
y+2 = 3
y = 3-2 .... subtract 2 from both sides
y = 1
Either way, we get the same answer.
-------------
To check the answer, replace every copy of y with 1
Simplifying should lead to 6 on the right side
6 = 2(y+2)
6 = 2(1+2)
6 = 2(3)
6 = 6
Since we get the same thing on both sides, this means the last equation is true. This in turn means the first equation is true when y = 1. Therefore, the solution has been confirmed.
Please help anyone will give Points
Answer:
do the base are 3 then times that twice
Step-by-step explanation:
Juan works at a health food store
two hours a day, three days a
week. His weekly pay is $73.50.
About how much does Juan make
per hour?
Give me the right answer and I’ll mark your answer the brainliest
Answer:
12.25 per hour
Step-by-step explanation:
have a great day!
The answer is 12.25.
I'm sure about the answer.
Cora is bringing donuts to work as a treat for her co-workers. She buys 12 donuts for $9.96. How much does each donut cost? 30 POINTS FAST NEED HELP
Divide total cost by number of donuts bought:
9.96 / 12 = 0.83
Each donut cost $0.83
Answer:
0.83
Step-by-step explanation:
number of donuts divided by price
12/9.96=1/X
X=0.83
I need the answer ASAP!!
Answer:
it equal 23x , that the answer
janet buys 12 pencils for $1.49. what is the cost per pencil?
Answer:
0.124$
...............
you can simply divide the price of the pencils = 1•49$
by the number of pencils bought = 12
1•49/12
= 0•124$
Answer: 0.124166667 U.S. dollars
((1 U.S. dollar) + (49 U.S. cents)) / 12 =
0.124166667 U.S. dollars
The tickets to a high school hockey game cost either $6 or $11. A total of 540 tickets, worth $4,740, were sold. How much of the $4,740 was made from selling the $6 tickets?
Answer:
Your answer.
240
Thank you. And give my answer as Brainlist answer. Follow me for more
Step-by-step explanation:
find the volume of the cube below with a side length of 7.
Answer:
343 square unit is the answer...
Step-by-step explanation:
as a^3 is formula for finding volume where a is 7
Someone please hurry, I have no idea what I am doing
Answer
61.80°
Step-by-step explanation:
use SOHCAHTOA to solve
by using SOH
sin? = 51/55
? = 1÷sin(51/55)
? = 61.80°
Help please and thank you
Step-by-step explanation:
i think it is the third choice
Help me please answer thanks
HELP ASAP!!Solve for x. Enter the solutions from least to greatest.
X squared minus 5x minus 14=0
lesser x=
greater x=
what does 7x^2+12x-3 equal?
Answer:
23
Step-by-step explanation:
What’s the answer plz help!
Answer:
40 and 60
Step-by-step explanation:
A circular mirror has a diameter of 16.5 inches. What is the circumference of the mirror? Round to the nearest hundredth
Answer:
C≈51.84in
Step-by-step explanation:
C=2πr
d=2r
Solving for C
C= πd= π·16.5≈51.83628in
Last year, Isabel opened an investment account with 6600 . At the end of the year, the amount in the account had decreased by 24.5%. How much is this decrease in dollars? How much money was in her account at the end of last year?
Answer:
a. $1,617
b. $4,983
Step-by-step explanation:
a. The account suffered a decrease of 24.5% of the original sum of $6,600.
This amount in cash is:
= 24.5% * 6,600
= $1,617
b. If the account reduced by $1,617, the balance left is:
= 6,600 - 1,617
= $4,983
90% of e is 30. What is e?
Answer:
27
Step-by-step explanation:
Answer:
e = 33.3 (approx. )Step-by-step explanation:
To find out - 'e'
Given,
90 % of e = 30
[tex] = > \frac{90}{100} \times e = 30[/tex]
[tex] = > e = 30 \times \frac{100}{90} [/tex]
[tex] = > e = \frac{100}{3} [/tex]
=> e = 33.3333......
=> e = 33.3 (approx. ) (Ans)
b. Classify the triangle shown by its angles and by its sides.
Answer:
Yes, according to the angles and sides of the hills
Answer:
Answers
1. 40o, obtuse
2. 90o, right
3. scalene
4a. equilateral
4b. isosceles
4c. scalene
5. An acute triangle has 3 acute angles, not just 1. The figure contains a right angle and is therefore a right triangle.
6. obtuse
7. 58o, acute
8. Yes, because the measures add up to 180o.
9. C
10. The triangle would be isosceles, because isosceles triangles have two sides the same length.
Step-by-step explanation:
What is the value of 3x^4?
Answer:
243
Step-by-step explanation:
[tex]5( \sqrt{ {x}^{2} + 2x - 14} + x) = 20 \\ \\ \sqrt{ {x}^{2} + 2x - 14} + x= \frac{20}{5} \\ \\ \sqrt{ {x}^{2} + 2x - 14} + x= 4 \\ \\ \sqrt{ {x}^{2} + 2x - 14} = 4 - x\\ \\ {(\sqrt{ {x}^{2} + 2x - 14} )}^{2} = {(4 - x)}^{2} \\ \\ \cancel{ {x}^{2}} + 2x - 14 = 16 - 8x + \cancel{ {x}^{2} } \\ \\ 2x - 14 = 16 - 8x \\ \\ 2x + 8x = 16 + 14 \\ \\ 10x = 30 \\ \\ x = \frac{30}{10} \\ \\ x = 3 \\ \\ 3 {x}^{4} = 3 {(3)}^{4} = 3 \times 81 \\ \\ \huge \red {3 {x}^{4}= 243}[/tex]
What integer values for a and b would make the following statement true?
Answer:
i think the values for a and b are: a=2 and b=1/4
Find the geometric mean of 6 and 30, write your answer in simplest radical form.
Answer:
13.4
Step-by-step explanation:
whats -5( a -6)+2a ?
Answer:
a is 4 and A is 7
Step-by-step explanation:
Answer:
89443
Step-by-step explanation:
A rectangle measures 2 1/3 inches by 1 2/3 inches. What is its area?
Please simplify to a fraction and make sure its a whole and a fraction, not just the fraction!
:D
Answer:
i alr answered this correctly
Step-by-step explanation:
3 4/5
Another name for a cube is
A. dodecahedron
B. hexahedron
C. icosahedron
D. tetrahedron
please help
Answer:
B
Step-by-step explanation: