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Simora [160]
3 years ago
11

Verify sin2θ/1+cos2θ =tanθ

Mathematics
1 answer:
Andrej [43]3 years ago
4 0

Answer:

LHS.= Sin 2x /( 1 + cos2x )

We have , sin 2x = 2 sinx•cosx

And. cos2x = 2cos^2 x - 1

i.e . 1+ cosx 2x = 2cos^2x

Putting the above results in the LHSwe get,

Sin2x/ ( 1+ cos2x ) =2 sinx•cosx/2cos^2x

=sinx / cosx

= Tanx

.•. sin2x/(1 + cos2x)= tanx

Step-by-step explanation:

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Determine an equivalent algebraic monomial expression using the laws of exponents. Show your work.
Serga [27]

The equivalent algebraic monomial expression of the expression given as (-8a^5b)(3ab^4) is -24a^6b^5

<h3>How to determine an equivalent algebraic monomial expression?</h3>

The expression is given as:

(-8a^5b)(3ab^4)

Multiply -8 and 3

So, we have:

(-8a^5b)(3ab^4) = (-24a^5b)(ab^4)

Multiply a^5 and a (a^5 * a = a^6)

So, we have:

(-8a^5b)(3ab^4) = (-24a^6b)(b^4)

Multiply b and b^4

So, we have:

(-8a^5b)(3ab^4) = -24a^6b^5

Hence, the equivalent algebraic monomial expression of the expression given as (-8a^5b)(3ab^4) is -24a^6b^5

Read more about expressions at:

brainly.com/question/723406

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2 years ago
A rectangle pyramid is sliced parallel to its base as shown in the figure. What is the shape of the resulting two-dimensional cr
Aleks [24]
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8 0
3 years ago
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Simplify.<br> 7/8 x 1 1/3<br><br> A. 7/24<br> B. 28/24<br> C. 1 1/6<br> D. 1 7/24
Amiraneli [1.4K]
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Pls help me fast and give me the steps pls<br> 1+7p-40=80
valentinak56 [21]

Answer:

17

Step-by-step explanation:

1+7p-40=80

-39+7p=80 Move constant to the right

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4 0
3 years ago
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Felipe borrowed $8000 at a rate of 16.5%, compounded monthly. Assuming he makes no payments, how much will he owe after 7 years?
Gelneren [198K]

Answer:

$25,193.17

Explanation:

Given:

• Principal Felipe borrowed, P=$8000

,

• Annual Interest Rate, r=16.5%=0.165

,

• Compounding Period, k=12 (Monthly)

,

• Time, t=7 years

We want to determine how much he will owe after 7 years.

In order to carry out this calculation, use the compound interest formula below:

A(t)=P\mleft(1+\frac{r}{k}\mright)^{tk}

Substitute the values defined above:

A(t)=8000\mleft(1+\frac{0.165}{12}\mright)^{12\times7}

Finally, simplify and round to the nearest cent.

\begin{gathered} A(t)=8000(1+0.01375)^{84} \\ =8000(1.01375)^{84} \\ =\$25,193.17 \end{gathered}

After 7 years, Felipe will owe $25,193.17.

3 0
1 year ago
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