All categories

3 years ago

Find an expression equivalent to 1-sinx ^2/1-cosx ^2

Mathematics

1 answer:

madam [21]3 years ago

8 0

Answer:

cot²x

Step-by-step explanation:

Using the identity

sin²x + cos²x = 1, then

1 - sin²x = cos²x

1 - cos²x = sin²x

Thus

$\frac{1-sin^2x}{1-cos^2x}$ = $\frac{cos^2x}{sin^2x}$ = cot²x

You might be interested in

◕ A dealer sold a photocopy machine at Rs 4200 with 13% VAT to a retailer. The retailer added transportation cost of Rs 250 , pr

satela [25.4K]

Given :-

A dealer sold a photocopy machine at Rs 4200 with 13% VAT to a retailer.
The retailer added transportation cost of Rs 250 , profit Rs 300 and local tax Rs 150 and sold to consumer .
Customer has to pay 13% VAT .

To Find :-

Amount to be paid by the customer .

Solution :-

Here , according to the question ,

$\sf\dashrightarrow Cost\ of \ machine \ = \ Rs 4200$

$\sf\dashrightarrow VAT = 13\%$

Therefore cost after adding VAT ,

$\sf\dashrightarrow Cost = Cost_{initial}+13\% of Cost_{initial}\\$

$\sf\dashrightarrow Cost = Rs4200 + Rs 4200 \times \dfrac{13}{100}\\$

$\sf\dashrightarrow Cost = Rs4200 + Rs546\\$

$\sf\dashrightarrow \bf{ Cost = Rs 4746}$

Again the values added by the retailer before selling to customer ,

Transport = Rs 250
Profit = Rs 300
Tax = Rs 150

Therefore total cost after adding these ,

$\sf\dashrightarrow Cost = Rs( 4746+ 250+ 300 + 150 )\\$

$\sf\dashrightarrow\bf { Cost = Rs 5446}$

Again Selling price after addition of 13% VAT ,

$\sf\dashrightarrow SP = Rs 5446 + 13\% \ of \ Rs 5446\\$

$\sf\dashrightarrow SP = Rs 5446 + \dfrac{13}{100}\times 5446 \\$

$\sf\dashrightarrow SP = Rs (5446 + 707.98) = Rs ( 5446 + 708)\\$

$\sf\dashrightarrow \underline{\underline{\bf SP_{to\ the \ customer} = Rs 6154}}$

Hence the amount to be paid by the customer is Rs 6154 .

3 0

2 years ago

Read 2 more answers

The rectangle graphed has a length of 5 and a width of 4 how does the perimeter change when the width is decreased by half

Nuetrik [128]

Answer:

It decreases by 4 units

Step-by-step explanation:

8 0

3 years ago

S^2+3s-10=0 complete the square and show your work so I can learn how to do it please and thanks!

Volgvan

S^2+3s-1”=0 pls give Brainliest Im BEGGING

5 0

3 years ago

Read 2 more answers

The average weight of a basketball is 21 1/8 ounces.the average weight of a baseball is 5 2/8 ounces. How many more ounces does

s344n2d4d5 [400]

Answer:

26 3/8

Step-by-step explanation:

5 0

3 years ago

Collins Middle School has 217 sixth grade students. If the sixth grade is 35% of the total school, how many students are in the

lbvjy [14]

Answer:620

Step-by-step explanation: lets say the total of school is X so:

X.35÷100=217

when we calculate this the answer will be 620

4 0

3 years ago

Read 2 more answers