Simplify and write the trigonometric expression in terms of sine and cosine:
tan u + cot u = 1/f(u)

Answers

Answer 1

Answer:

we have the expression as;

1/sin u cos u

Step-by-step explanation:

tan u = sin u/cos u

cot u = cos u/sin u

Thus;

sin u/cos u + cos u/sin u

The lcm is sin u cos u

Thus, we have that;

(sin^2 u + cos^2 u)/sin u cos u

But ; sin^2 u + cos^2 u = 1

so we have ;

1/sin u cos u

Answer 2

The requested trigonometric expression in terms of sine and cosine is;

[tex]f(u) = \frac{1}{ \frac{sinu}{cosu} + \frac{cosu}{sinu} } [/tex]

Trigonometric expressions:

We must remember,

tan u = sin(u)/cos(u)

and cot u = cos(u)/sin(u).

Therefore we have;

sin(u)/cos(u) + cos(u)/sin(u) = 1/f(u)

By Cross-product; we have;

[tex]f(u) = \frac{1}{ \frac{sinu}{cosu} + \frac{cosu}{sinu} } [/tex]

Therefore, the required function, f(u) in terms of sin u and cos u is as represented above.

Read more on trigonometry;

https://brainly.com/question/20519838


Related Questions

I would really appreciate if someone would help me i don’t understand

Answers

Answer:

D. 48

Step-by-step explanation:

In the experiment, 16/40 landed exactly on heads. If you do 16/40 * 3/3 = 48/120.

This means that you can estimate 48 of the next 120 trials have 2 coins showing heads.

9/4 - 17/6= ?
Can someone please help me?​

Answers

Answer:

-0.58333333333

Step-by-step explanation:

Find the Least Common Multiple

     The left denominator is :       4

     The right denominator is :       6

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 1 2

3 0 1 1

Product of all

Prime Factors  4 6 12

Least Common Multiple:

    12

Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Denominator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 3

  Right_M = L.C.M / R_Deno = 2

Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction, multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      9 • 3

  ——————————————————  =   —————

        L.C.M              12  

  R. Mult. • R. Num.      17 • 2

  ——————————————————  =   ——————

        L.C.M               12  

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

9 • 3 - (17 • 2)      -7

—————— =   ——

       12                 12

[tex]\frac{-7}{12}[/tex] = -0.58333333333

write an equivalent expression for 55+15n.​

Answers

55+15n
Divide both by 5
11+3n

Answer:

5(11+3n)  

Step-by-step explanation:

divide the whole equation by 5

I need help with this probability question.

Answers

Answer:

20/total (u can calculate it)

Step-by-step explanation:

Number of dogs/Total number of pets

Suppose that y varies directly as the square root of
x, and that y = 16 when x = 4. Find x when
y = 24.

Answers

Answer:

x is 6

Step-by-step explanation:

x is 1/4 of y. so divide 24 by 4 and get 6

f(x) = –27 + 9.23 + 3x is even, odd or neither.

Answers

Answer:

The function is neither odd nor even

Step-by-step explanation:

Pablo swims 1 length of a swimming pool. What unit would be best for measuring that length of the pool?

Answers

Answer:

kiloliters

Step-by-step explanation:

The amount of water a family uses in a year is a large amount of water - more than the amount of water in a pool! This means kiloliters would be the best unit of measurement.

What is a value of \sqrt(7) inches to the nearest hundredth?

Answers

Answer:

2.65

Step-by-step explanation:

Using a calculator's square root key, we get √7 = 2.64575....

To the nearest hundredth, that'd be √7 = 2.65.

Can someone simplify this equation and solve for x and y?
(2x-5)+(y-1)+x=169

Answers

Answer:

Answer

2x+3y=14,2x−3y=2

Adding :

2x+3y=14

2x−3y=2

__________

4x=16

x=4

∴xy=4×2

=8

2×4+3y=14

8+3y=14

3y=6

y=2

Step-by-step explanation:

here you go

Answer: The y-intercept is found by substituting known values for x and y in the equation and solving for b. the known values are (x,y) = (2,8.4) Equation of y = 4.2*x + b becomes 8.4 = 4.2*2 + b

Step-by-step explanation:

Macy makes 15 of 20 free throws at basketball practice. What is the experimental probability that she will miss her next free throw?

Answers

Step-by-step explanation:

she might lose 1/4 of the next free throws

What is the equation of the line that passes through (4, -1) and (-2, 3)?

Answers

Answer:

3--1/-2-4=4/-6=2/-3

y=-2/3x+b

-2*-2/3=4/3

3-4/3=5/3

y=-2/3x+5/3

Step-by-step explanation:

Answer:

[tex]\displaystyle y=-\frac{2}{3}x+\frac{5}{3}[/tex]

Step-by-step explanation:

We want to find the equation of the line that passes through the two points:

(4, -1) and (-2, 3).

First, we will find the slope of the two points. So:

[tex]\displaystyle m=\frac{3-(-1)}{-2-4}=\frac{4}{-6}=-\frac{2}{3}[/tex]

Now, we will use the point-slope form given by:

[tex]y-y_1=m(x-x_1)[/tex]

Use either point. I'm going to use (4, -1). So, substitute:

[tex]\displaystyle y-(-1)=-\frac{2}{3}(x-(4))[/tex]

Simplify and distribute:

[tex]\displaystyle y+1=-\frac{2}{3}x+\frac{8}{3}[/tex]

Subtract 1 from both sides. Therefore:

[tex]\displaystyle y=-\frac{2}{3}x+\frac{5}{3}[/tex]

find the following square by using the identities
[tex](2xy + 5y) {?}^{2} [/tex]

Answers

Given:

Consider the given square is

[tex](2xy+5y)^2[/tex]

To find:

The value of given square by using the identities.

Solution:

We know that,

[tex](a+b)^2=a^2+2ab+b^2[/tex]            ...(i)

We have,

[tex](2xy+5y)^2[/tex]

Using the identity (i), we get

[tex](2xy+5y)^2=(2xy)^2+2(2xy)(5y)+(5y)^2[/tex]

[tex](2xy+5y)^2=4x^2y^2+20xy^2+25y^2[/tex]

Therefore, the value of given square expression is [tex]4x^2y^2+20xy^2+25y^2[/tex].

There are 3 green marbles and 15 blue marbles in a bag. What is the ratio of green marbles to total number of marbles? Select all the equivalent ratios that represent this relationship.

Answers

3:18 is the answer hope this helps
The ratio of green marbles to blue marbles is 1:3

Good Luck!

6. At the Winter Olympics, the ratio of Canadian medals to US to Russia was 1:8:5. If Russia won 25
medals, how many did Canada and US won?

Answers

Answer:

Step-by-step explanation:

Let x be the total number of medals won by the Russians.

The way to do this is to add the ratios together

1 + 8 + 5 = 14

(5/14) x = 25

Multiply by 14

5*x = 25 * 14

5x = 350              

divide by 5

70

8/14 = x / 70

14x = 8 * 70

14x = 560

x = 560 / 14

x = 40

The USA won 40 medals.

1/14 = x / 70

14x = 70

x = 5

Canada Won 5 medals.

Check

Russia       Won 25 medals

Canada     Won   5 medals

USA           Won 40 medals

Total 70

Write the equation of the parabola that has the vertex at point (-2, -2) and passes through the point (-1, -1)

Answers

Answer:

y = (x+2)²-2

Step-by-step explanation:

Use the vertex form y = a(x-h)²+k. Plug in the vertex for h and k. Solve for a and you will get 1 for that value. You can check your answers by plugging in both of those points to make sure.

What is the value of x ?
7x– 5 = 4x - 14

Answers

Answer: X is equal to -3

Step-by-step explanation: I isolated x and then divided both sides by x

Zeth has $32.12 in his change
jar on Monday after he went
out to eat on Sunday
afternoon. If on Sunday he
had $40.55, how much did
Zeth spend?

Answers

The answer is $8.43 for this question

What is the sale price of a bottle of olive oil originally priced at $6?

Answers

Answer: While there are plenty of quality options on the shelves that fall between the $15 and $30 range, “trendy” olive oils like Brightland and Fat Gold cost more, at $37 and $44.75, respectively. Some even have price tags in the three digits.

Step-by-step explanation:

what is the answer to 3x + 4y - 2g + s

Answers

there isn't an answer since all the letters are different and you can't add or subtract or do anything to uncommon values. 3x+x = 4x but u can't do 3x +y because they're not in common

Cindy is make a display for a project. She plans on 100 stickers that are 2 inch by 2 inch square on a poster board. The poster board she is using has a length of 3 feet and width of 2 feet. Does she have enough room for all her stickers

Answers

Answer:

YES

Step-by-step explanation:

the dimensions of the poster board has to be converted to inches to add comparability

1 feet = 12 inches

3 x 12 = 36 inches

width = 2 x 12 = 24 inches

Area = length x breadth

36 x 24 = 864 cm^2

area of sticker = 2 x 2 = 4cm^2

Number of stickers that can be put on the board = 864 / 4 = 216

216 is greater than 100. So the board has enough room for the stickers

helpppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

lets talk first

Step-by-step explanation:

Answer:

4/13

Step-by-step explanation:

u just mutilpy 1/52 by 2 = 1/26 by 2 = 1/13 by 2= 2/13 by 2- 4/13

Which system of inequalities does the graph represent? Which test point satisfies both of the inequalities in that system?



The graph represents the system of inequalities .
The test point satisfies both of the inequalities in the system represented by the graph.

Answers

Answer:

Ok so its -3;3

Step-by-step explanation:

Please help with this question (10 points)

Answers

Answer:

48 in.

Step-by-step explanation:

We know that the dimensions are 144 by 96.

144  = 96(quotient) + remainder,

144 = 96(1) + 48

Solution: side of largest square = 48

I only need help with 10​

Answers

Answer:

im pretty sure its a,e and i,d

Step-by-step explanation:

If there is a 70% chance that it will snow today, what is the percent chance that it
will NOT snow today?

Answers

Answer:

30%

Step-by-step explanation:

100-70=30

Answer:

i dunno 30%?

Step-by-step explanation:

help me please I really need it.
Thank you

Answers

Answer:

D

Step-by-step explanation:

Answer:

D is ur answer

Step-by-step explanation:

Bye

1. What percent of 200 is 0.5?

Answers

Answer:

Step-by-step explanation:

My guess is % 1/400

Answer:

0.5 is 0.25% of 200.

Step-by-step explanation:

1 is 1/200 of 200.

Therefore, 0.5 is 1/400 of 200.

1/400 = 0.0025 = 0.25/100

Therefore, 0.5 is 0.25% of 200.

Can anyone help me please

Answers

Answer:

-4/9

Step-by-step explanation:

find two points that cross perfectly and take the ys and subtract and take the xs and subtract and then do y/x

Hope this helps :)

y=4x-6
2x-3y=8
if this problem is to be solved bye substitution, which is correct step

Answers

Answer:

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

ok

PLWASE HELP ME THIS IS DUE TODAY
Find the area of the shaded region. Use 3.14 for it. 8 cm 8 cm​

Answers

The resolution of the problem is in the attached photo

Remember: Area of ​​the circle= 3.14 x r^2

if you don't understand some passage write in the comments of my answer ;)


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