If t is any real number, prove that 1+(tant)^2=(sect)^2

Answers

Answer 1
Answer: 1+\left(tant\right)^2=\left(sect\right)^2\n\nL=1+\left((sint)/(cost)\right)^2=1+(sin^2t)/(cos^2t)=(cos^2t)/(cos^2t)+(sin^2t)/(cos^2t)=(cos^2t+sin^2)/(cos^2t)=(1)/(cos^2t)\n\n=\left((1)/(cost)\right)^2=(sect)^2=R\n\n====================================\n\n\ntanx=(sinx)/(cosx)\n\nsin^2x+cos^2x=1\n\nsecx=(1)/(cosx)

Related Questions

(2ײ -׳-18ײ-7÷(×+2) i need solution and explanation​
Could you prove this trignometry identity? It's sin x cot x =cos x
TIMED PLEASE HURRYTwo hundred students were surveyed about their favorite fruit. How many more students preferred apples than cherries? 2 4 35 70
Which fraction is equivalent to the ratio 126 : 54​
You decide to put $100 in a savings account to save for a $3,000 down payment on a new car. If the account has an interest rate of 2% per year and is compounded monthly, how long does it take you to earn $3,000 without depositing any additional funds? 170.202 years 14.3129 years 171.755 years 168.354 years

One health club charges a $50 sign-up fee and $65 per month. James spends a total of $635 for his gym membe Write an equation that will determine the number of months, m, James had his membership

Answers

Answer: James had his gym membership for approximately 9 months.

Step-by-step explanation: To determine the number of months, m, James had his membership, we can set up an equation based on the given information.

The total cost of James' gym membership consists of two parts: the sign-up fee of $50 and the monthly fee of $65 multiplied by the number of months, m.

Therefore, the equation is:

Total cost = Sign-up fee + Monthly fee * Number of months

In this case, the total cost is $635, the sign-up fee is $50, and the monthly fee is $65. We want to find the number of months, which we will represent as m.

Plugging in the values, the equation becomes:

635 = 50 + 65m

Simplifying further:

635 - 50 = 65m

585 = 65m

To solve for m, we can divide both sides of the equation by 65:

m = 585 / 65

Calculating this division, we find:

m ≈ 9

Shelley pours 4/5 gallons of water into a bird bath . The next morning , she finds out 3/4 of the water is gone. What is the amount of water , in the gallons, that is gone? (PICTURE IS INCLUDED) Questions of u want to answer will be posting more right now!

Answers

Answer:1/5 is the answer

Step-by-step explanation:

PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG. PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG. PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG. PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG. PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG. PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG. PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG. PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG.

Based on the table,what is the best
prediction of the
number of clicks on
the advertisement if
1,500 people visit the
website?
F. 7
G. 137
H. 83
J. 105





PLEASE HELP
ILL GIVE YOU BRAINIEST

Answers

The linear relation is y = 0.049x + 8.606 then the value of y is 83. Then the correct option is H.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The linear relation is given as

\rm y - 63 = (63-60)/(1106-1045) (x - 1106)\n\ny = 0.049x+8.606

For x = 1500, then the value of y will be

\rm y = 0.049* 1500+8.606\n\ny = 82.37 \approx 83

More about the linear system link is given below.

brainly.com/question/20379472

H. 83 would be the best prediction because when there was 510 visits there was 32 clicks so u multiply 32 times 3 and get 96 but since it’s 510 visits and not 500, 83 would be the most predictable :)

Solve for x: 4 over 5 x + 4 over 3 = 2x x = Write your answer as a fraction in simplest form. Use the "/" symbol for the fraction bar. (2 points)

Answers

Answer:

x = 10/9

Step-by-step explanation:

Solve for x:

(4 x)/5 + 4/3 = 2 x

Put each term in (4 x)/5 + 4/3 over the common denominator 15: (4 x)/5 + 4/3 = (12 x)/15 + 20/15:

(12 x)/15 + 20/15 = 2 x

(12 x)/15 + 20/15 = (12 x + 20)/15:

(12 x + 20)/15 = 2 x

Multiply both sides by 15:

(15 (12 x + 20))/15 = 15×2 x

(15 (12 x + 20))/15 = 15/15×(12 x + 20) = 12 x + 20:

12 x + 20 = 15×2 x

15×2 = 30:

12 x + 20 = 30 x

Subtract 30 x from both sides:

(12 x - 30 x) + 20 = 30 x - 30 x

12 x - 30 x = -18 x:

-18 x + 20 = 30 x - 30 x

30 x - 30 x = 0:

20 - 18 x = 0

Subtract 20 from both sides:

(20 - 20) - 18 x = -20

20 - 20 = 0:

-18 x = -20

Divide both sides of -18 x = -20 by -18:

(-18 x)/(-18) = (-20)/(-18)

(-18)/(-18) = 1:

x = (-20)/(-18)

The gcd of 20 and -18 is 2, so (-20)/(-18) = (-(2×10))/(2 (-9)) = 2/2×(-10)/(-9) = (-10)/(-9):

x = (-10)/(-9)

Multiply numerator and denominator of (-10)/(-9) by -1:

Answer: x = 10/9

After lunch, you need to buy new shoes. You bought a pair last year and they cost $79.00. Now, the same shoes cost $86.00. By what percent has the price increased? Write your answer to 2 decimal places. *

Answers

Answer:

The main answer: $4.84

Step-by-step explanation:

County A: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!

$75 * 0.0725 = $5.4375

Add the original price and the sales tax.

$75 + $5.4375 = $80.4375

County B: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!

$70 * 0.08 = $5.6

Add the original price and the sales tax.

$70 + $5.6 = $75.6

Then take the difference.

80.4375 – 75.6 = 4.8375

Round to the nearest hundredth: $4.84

50 is 6.25% of what number?

Answers

Answer:

800

Step-by-step explanation:

Answer:

i think its 800

Step-by-step explanation:

taking the test