Find the value of the
trig function
a. Cos Ɵ = 2/5 find Tan Ɵ
b. Cosec Ɵ = 7/3 find Cos Ɵ
c. Cot Ɵ = 4/3 find Sec Ɵ
d. Tan Ɵ = 3 find Cosec Ɵ

Answers

Answer 1

Answer:

a.

cos θ = 2/5, tan θ = ?

tan θ = sin θ / cos θ tan θ = √sin² θ / (2/5) tan θ= 5√(1 - cos²θ) / 2 tan θ = 5√(1 - 4/25) / 2 tan θ = 5√(21/25) / 2 tan θ = √21 / 2

b.

cosec θ = 7/3, cos θ = ?

cosec θ =  1/ sin θ cosec θ = 1/ √(1 - cos²θ) √(1 - cos²θ) = 1 / cosec θ1 - cos²θ = (1 / (7/3))² cos²θ = 1 - 9 / 49cos²θ = 40/49cos θ = √40/49cos θ = 2√10/7

c.

cot θ = 4/3, sec θ = ?

cot  θ = cos θ / sin θcos θ = cot θ * sin θcos θ = 4/3 * √(1 - cos²θ)9cos²θ = 16(1 - cos²θ)25cos²θ = 16cos²θ = 16/25cos θ √16/25cos θ = 4/5sec θ = 1/ cos θsec θ = 1/ (4/5)sec θ = 5/4

d.

tan θ = 3, cosec θ = ?

sin²θ + cos²θ = 11 + cos²θ/sin²θ = 1/ sin²θ1 + 1/tan²θ = cosec²θ1 + 1/9 = cosec²θcosec²θ = 10/9cosec θ = √(10/9)cosec θ = √10 / 3

Related Questions

Which of the following is NOT an element of impressionistic painting.

A. Photography

B. Mood

C. color

D. Perspective


Please help me answer this

Answers

Answer:

A. Photography. I couldn't say this is in mathematics but okay :)

Can someone help me solve this please!

Answers

Answer:

a)

Point A: Quadrant 1

Point B: Quadrant 3

b)

x intercept: -2, 0

y intercept: 0, 1

c)

slope: 1/2 or 0.5

Hey circle is divided into 24 sectors are shown below the sectors were rearranged into the figure shown below by placing the sector side-by-side this figure can be used to derive the equation for the area of a circle which statement about the figure is true

Answers

Answer:

the answer is two

Step-by-step explanation:

The equation is

The figure is similar to a parallelogram , with a base length equivalent to the circumference of the circle and a height equivalent to the radius of the circle

What is a Circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The perimeter of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle

Given data ,

Let the radius of the circle be represented as r

Now , the equation will be

The circumference of the circle C = 2πr

And , the circle is divided into 24 sectors and it is placed side-by-side

The figure formed is in the shape of a parallelogram

The base length of the parallelogram = circumference of the circle

And ,

Height of the parallelogram = radius of the circle r

Hence , the base length is the circumference and height is the radius of the circle

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n is an integer such that -2 <n<3
Write down all the possible values of n.​

Answers

Answer:

................................

What is the radius of a Ø6.75" circle? 3.375" or 3.750" or 4.375" or 6.750"

Answers

Answer:4.375

Step-by-step explanation:

hi can you please help me with my work​ no Link please no Link

Answers

Answer: -12

Step-by-step explanation:

4 1/2-5 1/8= -5/8 divided by 7 1/2

= -12

Hope this helped!!<3

Answer:

-12

Step-by-step explanation:

4 4/8 – 5 1/8 = (4 – 5) + (4/8 – 1/8) = -1 + 4 – 1/8 = -1  + 3/8 = -5/8

7 1/2 ÷ 5/8 = 15/2 ÷ -5/8 = 15/2 × 8/-5 = 15 × 8 2 × -5 = 120 -10 = 120/-10 ÷ 10/10= –12

In circle Z, BZ = FZ, BZ 1 CA, FZ 1 DC DF = 18 in.
What is BC?

Answers

Answer:

18 in.

Step-by-step explanation:

I just took the quiz

Answer:

The dimenssion of BC is - 18in.

Step-by-step explanation:

Definition of circle:

The set of all points in the plane that are a fixed distance (the radius) from a fixed point is called a circle . A radius is the distance between any two points on a circle and the center. Any two radii have the same length according to the definition of a circle.

Step 1:

in Δ[tex]ZFC[/tex] and Δ[tex]ZFD[/tex]

[tex]ZD = ZC[/tex] ( Radius of the circle will be same )

[tex]ZF= ZF[/tex] (Common side in both triangle)

[tex]$\angle Z F C=L I P D=90^{\circ}[\because F Z \perp D C][/tex]

So from Side Angle Side theorem,

[tex]$\triangle Z F C \cong \triangle Z f D$[/tex]

So, [tex]$F C=F D=18 in.[/tex]

Step 2:

[tex]$\triangle B C Z$[/tex] and [tex]$\triangle F C Z$[/tex]

[tex]$B Z=F Z \quad$[/tex] (Given)

[tex]CZ = CZ[/tex] (Common side in both the triangle)

[tex]$\angle Z B C=\angle Z F C=90^{\circ} \quad[\because \overline{B Z} 1 \overrightarrow{C A}$[/tex] and [tex]$$\overline{F 2} \perp \overline{D C}]$$[/tex]

So from sides side angle theorem,

Δ[tex]BCZ[/tex]≅ Δ[tex]FCZ[/tex]

So, [tex]BC = FC[/tex]

Hence [tex]BC = 18in.[/tex]

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How do I put 4/3 on a fraction number line

Answers

Answer:

you would put it as four thirds

Step-by-step explanation:

Answer:

Lets break this down.

4/3 can be simplified as 3/3 and 1/3.

3/3 can also be simplified into 1.

That leaves us with a mixed fraction as 1 1/3.

Now that we know our mixed fraction, we must locate this on a number line.

I drew 3 marks on a number line to demonstrate this, along with a indicator showing where 1 1/3 is.

Since 1 1/3 has one whole, we know that 1 1/3 is greater than 3/3.

We locate 1 on the number line, which is directly in the middle.

Now, we have to move one more to the right, since we have a remaining 1/3.

This leaves us where we are on the photo provided.

Hope this helps! c:

Identify the volume of a square pyramid with base edge length 18 cm and height 16

Answers

Answer:

1728

Step-by-step explanation:

Edgar and his 4 friends want to share the cost of a meal equally. They order
3 large pizzas and 5 small drinks. If they leave a tip of $8.10, how much does
each person pay?

Answers

Answer:

Each person pays $9.72

Step-by-step explanation:

Add up the cost of the large pizzas, small drinks, and the tip, then divide by 5.

WILL GIVE BRAINLYIST
69X420

Answers

Answer:

28,980

Step-by-step explanation:

Easy claps my boiiiiiiiii

Hail Hydra

Solve the following inequality.
4x - 3(x + 2) - 5 < 0
A. x < -2
B. XX-2
C. x < 11
OD. X > 11

Answers

Answer:

The right answer is C

Step-by-step explanation:

4x-3x-6-5<0

x-11<0

x<11

someone help me, is this correct ?

Answers

Answer:

no!!

Step-by-step explanation:

it's b!! simply solve for y by subtracting both sides by 3x and then dividing both sides by 2

Answer:

its b your answer choice is wrong

what is 1/3 +4 x 3

If you answer correctly i will give 100 points and Brainiest :)

Answers

12 1/3 or 12.33.

EXPLANATION:
because of order of operations or PEMDAS, multiplication comes first.

4 x 3 = 12

so now we have 1/3 + 12.

So 12 1/3.

Which in decimal form is 12.33

10. Beth has a wooden box. The inside of the box is 5 inches wide, 8.25
inches long, and 4.5 inches tall.

Answers

Answer:

185.625in^2

Step-by-step explanation:

This is volume right?

5*8.25*4.5=

please help ///// brainiliest

A 6 cm high cone has a volume of 128π cm3 What is its exact surface area?

A. 160π cm2
B. 96π cm2
C. 144π cm2
D. 104π cm2


No dam links

Answers

I think it would be D. 104

Which is the equivalent expression, please help!

Answers

Answer:

The first choice

Step-by-step explanation:

Solve the following inequality for X.
-26 + 13x + 2 > 2 – 13x

Answers

Answer:

x > 1

Step-by-step explanation:

-26 + 13x + 2 > 2 - 13x -------Given

13x - 24 > 2 - 13x -------------Add like terms

26x - 24 > 2 -------------------Add 13x on both sides

26x > 26 ------------Add 24 on both sides

x > 1 (Divide 26 on both sides)

Have a great day!

How many solutions does the following system of equations have?

y = 2x + 6
y = 4x + 12

A) One solution
B) Infinitely Many Solutions
C) No Solution
D) Two Solutions

Answers

Answer:

only one

Step-by-step explanation:

because by everymethod answer is -3

Answer:

D

Step-by-step explanation:

[tex]-5(3.15-\frac{21}{20} )+7[/tex]

Answers

The answer is -7/2 or -3.5

What is a number c decreased by 15?

Answers

Answer:

The Answer is Literally C - 15.

decreased by means subtract 15

and a number means the Variable: C

so C-15

Step-by-step explanation:

Can someone please do my math work I am gonna lose my permit soon and my mom just passed and I'm struggling

Answers

My bro just go up to ur mom and moan VERY loud and sh will b all lik ok ok u don’t worry about math


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

<ONP and <MNP

Step-by-step explanation:

ONP and MNP is the answer

The ratio of boys to girls in Ms. Gonzalez's class is 3 to 4. There are 12 girls in the class. What is the total number of students in Ms. Gonzalez's class?

Answers

Answer:

there are 21 students in her class.

Step-by-step explanation:

Since the 12 girls corresponds to the 4 in the ratio, I multiplied the 3 by three to get the amount of boys. then add the boys to the girls to get 21 students.

Find the next two numbers in the following sequence. List the very next missing
number in Blank 1, and then list the second missing number in Blank 2.
1,4, 16, 64, _, _

Answers

Answer:

256,781

Step-by-step explanation:

Hence, the missing number in the sequence is [tex]1,4, 16, 64, 256,1024[/tex].

What is the sequence?

A sequence is a list of objects, typically numbers, in which order matters, repetition is allowed, and the same elements can appear multiple times at different positions in the sequence.

Here given sequence is

[tex]1,4, 16, 64, -,-,[/tex]

So,

[tex]1\\1(4)=4\\16(4)=64\\64(4)=256\\256(4)=1024[/tex]

Hence, the missing number in the sequence is [tex]1,4, 16, 64, 256,1024[/tex].

To know more about the sequence

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PLEASE HELP FAST I WILL GIVE YOU BRAINLIEST
AABC - AQRS
Find the missing side length, n.
R
B.
12.5
5
2
А-
-C
4
10
n = [?]
Enter

Answers

Answer:

5

Step-by-step explanation:

yoy need to find hue multiplying factor, this is done by dividing one of the sides in QRS, by one in ABC. you can divide 10 by 4 to give you 2.5, and then multiply that by 2 to get 5

PartA: Explain why x=6makes 4x-5< 19.

Answers

Answer:

It doesn't.

Step-by-step explanation:

If you plug in 6 in the x spots you will have:

4(6)-5 < 19

If you solve that, you will get:

19< 19

So considering that they are the same number, this doesn't make sense because it should be an equal sign.

Have a nice day!!! Please mark Brainliest!

Help what is the correct answer *answer and questions attached*

Answers

Answer:

B

Step-by-step explanation:

which is greater 40 oz or 3 lb

Answers

Answer:

I think 3lb is greater

Step-by-step explanation:

Equations from Graphs
Which is the equation of the given line in point-
Please help me

Answers

Answer:

A. y = -x + 8

Step-by-step explanation:

y = mx + c

m = [tex]\frac{y2 - y1}{x2 - x1}[/tex] = [tex]\frac{0 - 8}{8 - 0}[/tex] = -1

c = 8

=> The equation will be y = -1x + 8 or y = -x + 8.

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