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3 years ago

Show so that the expression of cos4A in term of SinA is 8Sin^4 - 8Sin^2A + 1

Mathematics

1 answer:

Degger [83]3 years ago

5 0

Answer:

Step-by-step explanation:

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substitute in the equation as follows

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Given that sinθ=-3/4 in quadrant 4 find cosθ

Gekata [30.6K]

Step-by-step explanation:

sin∅=-3/4 in 4 quadrant which sine is negative there

using soh cah toa

sin=opp/hyp

where our opp=-3 and our hyp=4

using pythagoras theorem

hyp²=opp²+adj²

(4)²=(-3)²+adj²

16=9+adj²

16-9=adj²

adj²=7

adj=√7

from soh cah toa

cos∅=adj/hyp

cos∅=√7/4

4 0

2 years ago

Solve this please show your work <3

Nookie1986 [14]

Given:

The expression is

$\sqrt[3]{48}=\sqrt[3]{8\cdot \_\_}=$

To find:

The simplified form of the expression.

Solution:

We have,

$\sqrt[3]{48}=\sqrt[3]{8\cdot \_\_}=$

The expression $\sqrt[3]{48}$ can be written as

$\sqrt[3]{48}=\sqrt[3]{8\cdot 6}$

$\sqrt[3]{48}=\sqrt[3]{8}\cdot \sqrt[3]{6}$ $[\because \sqrt[3]{ab}=\sqrt[3]{a}\sqrt[3]{b}]$

$\sqrt[3]{48}=2\cdot \sqrt[3]{6}$

$\sqrt[3]{48}=2\sqrt[3]{6}$

Therefore, $\sqrt[3]{48}=\sqrt[3]{8\cdot 6}=2\sqrt[3]{6}$ .

5 0

3 years ago

James estimated the total cost of groceries to be $50. The actual cost of the groceries is $65. What is the percent error? Round

Yuki888 [10]

The percentage error is 23%

Explanation:

The estimated total cost of the groceries = $50

The actual cost of the groceries = $65

To find the error value, we need to subtract the value of actual cost and total cost of the groceries.

Thus,

error value = actual cost - total cost

error value $= 65-50=15$

Hence, error value = $15

The formula to determine the percent error is given by

$Percent error $=\left(\frac{\text { error value}}{\text {actual value}}\right) \times 100$$

Substituting the values in the formula, we get,

$\begin{aligned} \text { Percent error } &=\left(\frac{15}{65}\right) \times 100 \\ &=0.231 \times 100 \\ &=23.1 \end{aligned}$

Rounding off the value, we have, 23%

Thus, the percentage error is 23%

6 0

3 years ago

Charlotte's curtain company is making curtains for a local hotel. She wants each curtain to be 36 inches long. At the fabric sto

nekit [7.7K]

Answer:

159 feet of fabric

Step-by-step explanation

We are told that 1 curtain is 36inches long

Since 1 foot = 12inches

x foot = 36inches

Cross multiply;

12 * x = 36

12x = 36

x = 36/12

x = 3

Hence 36inches is same as 3 feet

If Charlotte's curtain company wants to make 53 curtains, the length of 53 curtain is expressed as;

1 curtain = 3feet

53 curtain = y

y = 53 *3

y = 159 feet

Hence she will need 159 feet of fabric

8 0

3 years ago

If you deposit $100 in a savings account that earns simple interest at a rate of 1.5% per year how much interest will you have e

Alexus [3.1K]

Equation: L=P*R*T

P=100
R=1.5%=0.015
T=5

Multiply and you get 7.5 as the interest.

7 0

3 years ago

Read 2 more answers

Show so that the expression of cos4A in term of SinA is 8Sin^4 - 8Sin^2A + 1​

Show so that the expression of cos4A in term of SinA is 8Sin^4 - 8Sin^2A + 1