prove that: sin×sec=tan

Answers

Answer 1

[tex]L.H.S\\\\=\sin \theta \sec \theta \\\\=\sin \theta \cdot \dfrac 1{\cos \theta } \\\\=\dfrac{\sin \theta}{\cos \theta}\\\\=\tan \theta\\\\=R.H.S\\\\\text{Proved.}[/tex]


Related Questions

Write (3 + 4i) + (8 + 2i) as a complex number in standard form.
А.11 - 6i
В.5 + 12i
C.7 + 10i
D. 11 + 61

Answers

Answer:

D. 11+6i

Step-by-step explanation:

3+8+4i+2i

11+6i

the two polygons are similar. Write a proportion and solve for x
SHOW WORK PLEASE​

Answers

Answer:

Answer: 2.5

Step-by-step explanation:

It seems as if everything is divided by two so 5/2 is 2.5

PLEASE HELP SOMONE.
Suppose you invest $5000 into an account the earns 2% interest compounded quarterly. How much money will you have after 30 years? Use the formula .
Group of answer choices

Answers

Answer:

So here is the answer to your question by using the formulae of compound amount.

Initial price( P) = $5000

Interest rate( R) = 2% pa

Time ( T) = 30 years

Compound amount (CA)=?

We have

CA=P(1+R/100)^T

=5000(1+2/100)^30

=$9056.807921

=$9057(Approx)

Thus, the money will be $9057 after 30 years.

Jeremiah is taking two of his friends out for pancakes. If he spends $17.55 on their meals and has $26 to spend in total, Jeremiah’s pancakes must cost no more than what amount?
Inequality Question

Answers

Answer:

$8.45

Step-by-step explanation:

if he has $26 to start and spends 17.55 on his friends, he has 8.45 leftover to spend on himself, but since he bought his friends pancakes for 17.55 their pancakes would have cost 8.775 each which suggests that Jeremiah likely cannot afford his own pancakes

(THE ULTIMATE QUESTION)solve one step equation (will also give Brainliest)


1. 3x = -18

2.x/4 = 16

3.-9x = 45


4.x + 8 = -10

5.-3x = -9

6.x/-2 = -3

Answers

Answer:

1 = --6

2 x=64

3 x= --5

4 x= --18

5 x=3

6 x=6

Step-by-step explanation:

GIMME BRANlIEST PLZZZ

what is it and why? having a good explanation would really help me. thx <3

Answers

Answer:

B. (-4-2)

Step-by-step explanation:

since the numerator is one you can divide -8 by the denominator of each fraction. -8/2 = -4, -8/4 = -2

(-4-2)

You have to make sure you distribute the -8 to all parts inside the parenthesis for it to be right.

i hope this helps :)

I desperately need help !

Answers

Answer:

t = 9.57

Step-by-step explanation:

We can use trig functions to solve for the t

Recall the 3 main trig ratios

Sin = opposite / hypotenuse

Cos = adjacent / hypotenuse

Tan = opposite / adjacent.

( note hypotenuse = longest side , opposite = side opposite of angle and adjacent = other side )

We are given an angle as well as its opposite side length ( which has a measure of 18 ) and we need to find its adjacent "t"

When dealing with the opposite and adjacent we use trig ratio tan.

Tan = opp / adj

angle measure = 62 , opposite side length = 18 and adjacent = t

Tan(62) = 18/t

we now solve for t

Tan(62) = 18/t

multiply both sides by t

Tan(62)t = 18

divide both sides by tan(62)

t = 18/tan(62)

t = 9.57

And we are done!

T= 9.57 do the math it’s not hard

{(x,y) | 2x - 3y < 6, x ∈ I, y ∈ I}
{(x,y) | -2x +5y > -10, x ∈ I, y ∈ I}

Answers

Answer:

1. (-10,-5)

2.(1/2,-1) 3. All real numbers infinite solution 4.(3 9)

Step-by-step explanation:

please help me I have no idea what I'm doing :(​

Answers

Answer: A. 100%

Step-by-step explanation:

brainlist
Which of the following situations could be modeled by an linear function?

Question 17 options:

The number of people in a stadium is decreasing at a rate of 45% every 10 minutes


The water level of a tank doubles every day


The population of a small town grows at a rate of 2.4% each year


A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year

Answers

A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.

Let’s remember what a linear function is. A linear function has a set amount of growth. In this case, it will grow two feet. The other answers are exponential functions. They aren’t growing the exact same amount each time, but a percentage.

Hope this helps!

Answer: D

Step-by-step explanation:

Some studies show that high school students are more successful when the school day begins after 9 am. To test this theory,
Lake High School changes its school day start time from 7 am to 9 am. Which of the following methods would best describe
the study above?
O A experimental study
OB. observational study
OC. survey
OD
controlled experiment
a
Reset
Submit

Answers

Answer:

It's probably B

Step-by-step explanation:

What is the coefficient in this expression? (34mn)


34

3

n

4

Answers

34
have a good day :]

The coefficient in this expression is 34.

The first option is the correct answer.

What are variables and coefficients?

The variable can have any value. That is, you can change the value of the variable. The value of the coefficient does not change, but changes in the value of the variable can change the value of the term containing the variable and the coefficient.

In formulas, coefficients are constants that are multiplied by variables. Consider the following equation: 3 x 2 + 5x-3 = 0. ax3 + x 2 = z. The values ​​3 and 5 in the first equation are the coefficients of the variable x.

Learn more about coefficient of expression here https://brainly.com/question/525935

#SPJ2

What is the equation to find the slope
m=

Answers

Answer:

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

Step-by-step explanation:

Answer:

[tex]\huge\boxed{m=\frac{y_2-y_1}{x_2-x_1} }[/tex]

Step-by-step explanation:

The equation for slope is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex], when given two points,

[tex](x_1,y_1), and (x_2,y_2)[/tex].

Hope it helps :) and let me know if you want me to elaborate.

4.Cost of 10 book is ₹800.What is the cost of 50 such books

Answers

Answer:

₹4000

Step-by-step explanation:

₹800/10 books

₹80/1 book

(₹80/1 book)*(50) = ₹4000

SOMEONE HELP ON QUESTION #13 pleasseeee

Answers

Answer:

You would have to do 51 - 16 to find out the total amount of money Vicky spent on scented soaps. 51 - 16 = $35. You then divide by the number of items. In this case, it is 10 scented soaps. 35/10=3.5. She spent $3.50 on each soap.

Step-by-step explanation:

Hope this helps!

Brainliest please!

May I please receive help?

Answers

Answer:

(32)2

1024

(28) 2

784

1024-784= 240

I think nearest 10 can 256 or 225 then find square

if all 10 players scored the same number of points, how many would each have to score to get a total of 230

Answers

Answer:

Each player would have to score 23 points.

Step-by-step explanation:

To answer this question, you must do 230 ÷ 10!

The answer to this is 23.

You can double check your answer by multiplying 23 by 10!

Answer:

23

Step-by-step explanation:

I got it correct on I-ready

Hope this helped!

From: Aug1e

Jose has scored 854 points on his math tests so far this semester. To get an A for the semester, he must score at least 876 points.

Answers

Answer:

It is 22

Step-by-step explanation:

Tiana’s dinner bill is $25. She tips her server 15%. How much does Tiana tip the server?

Answers

Tiana tipped the server $3.75

Hope this helped :)

Answer:

3.75$

Step-by-step explanation:

The part is the unknown.

Set up a proportion with the known values and solve for the part.

Using whole = $25, percent = 15%, part = ? dollars

part whole=percent 100→?25=15100

Multiply the numerator and denominator of a fraction by the

same number to determine an equivalent fraction.

StartFraction question mark Over 25 EndFraction = StartFraction 15 Over 100 EndFraction. Arrows going from question mark to 15 and from 25 to 100 are labeled times 4. ?×425×4==15100

Solve for the part.

?=15÷4=334=3.75

A bottle of juice costs $1.85, and a pack of 6 bottles of lemonade costs $5.40. If Jimmy
buys 3 bottles of juice and a dozen bottles of lemonade, how much money should he
spend in all?

Answers

Answer:

Step-by-step explanation:

+

1.85

5.40

_____

  6.      2    5

Which statement is true

Answers

I think the answer is D

Given h(x)=-x+5, solve for x when h(x)=3. PLEASE I NEED HELP ILL GIVE BRAINLIEST.

Answers

[tex]\text{Given that,}\\\\h(x) = -x+5\\\\\implies 3 = -x +5\\\\\implies x = 5 -3 =2[/tex]

pls answer quickly

which customary unit would be most appropriate to weigh an Apple

A) metric tons

B) tons

C) ounces

D) kilograms​

Answers

Answer:

Ounces

Step-by-step explanation:

Metric tons and tons is too much while kg is too little.

Answer:

its ounces

Step-by-step explanation:

One oval weighs how much

Answers

Answer:

5.5

Step-by-step explanation:

11 divided by 2 is 5.5

PLEAS ASAP
i wanna sleep

im young
30 POINTS

Answers

Answer:

325.5 i think

Step-by-step explanation:

28 divided my someing =4

Answers

Question :- 28 divided my something =4

Answer:- let something be x

[tex] \frac{28}{x} = 4 \\ \frac{28}{4} = x \\ 7 = x \: \: ans[/tex]

Answer:

7

Step-by-step explanation:

28 divided by 7 would give you 4.

(It's easier to solve this problem if you count by 4's: 4, 18, 12, 16, 20, 24, 28)

hope this helped!

please help me thank you!

ty ty :)

Answers

Answer:

the slope is flatter

the line is shifted 7 down

Step-by-step explanation:

Greg has only nickels and dimes in his money box. He knows that he has more than $10 in the box. Let x represent the number of nickels in the box and y represent the number of dimes in the box. Which of the following statements best describes the steps to graph the solution to the inequality in x and y? (5 points)

a
Draw a dashed line to represent the graph of 5x + 10y = 1000, and shade the portion below the line for positive values of x and y.

b
Draw a dashed line to represent the graph of 5x + 10y = 1000, and shade the portion above the line for positive values of x and y.

c
Draw a dashed line to represent the graph of 10x + 5y = 1000, and shade the portion above the line for positive values of x and y.

d
Draw a dashed line to represent the graph of 10x + 5y = 1000, and shade the portion below the line for positive values of x and y.

Answers

Answer: Draw a dashed line to represent the graph of , and shade the portion above the line for positive values of x and y

Step-by-step explanation: Let

x------> the number of nickels in the box

y------->the number of dimes in the box

we know that

so

Multiply by  both sides

-----> inequality that represent the situation

The solution of the inequality is the shaded area above the dashed line for positive values of x and y

The equation of the dashed line is

therefore

the answer is

Draw a dashed line to represent the graph of , and shade the portion above the line for positive values of x and y

How do i Multiply and divide integers? please answer quick if possible ‍♀️

Answers

Answer

To multiply integers, simply multiply the unsigned numbers and place the sign on the product by repeating the above rules.

To divide unsigned integers, we divide the unsigned numeric values and put a minus sign on the result.

Please help me on this math problem

Answers

We can use the formula y2-y1/x2-x1 to find our slope. When we plug in our numbers, we get 5-(-1)/0-2. This gives us 6/-2. The slope is -3.
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