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saw5 [17]
3 years ago
5

HELP! NOW! Prove the trig identity: 3sinx/1-cosx=3cscx+3cotx

Mathematics
1 answer:
vichka [17]3 years ago
5 0

Step-by-step explanation:

Given

To Prove

\dfrac{3\sin x}{1-\cos x}=3\csc x+3\cot x

Take the Left side of equation and rationalize

\Rightarrow \dfrac{3\sin x}{1-\cos x}\times \dfrac{1+\cos x}{1+\cos x}\\\\\Rightarrow \dfrac{3\sin (1+\cos x)}{1-\cos^2 x}\\\\\Rightarrow \dfrac{3\sin (1+\cos x)}{\sin^2 x}\\\\\Rightarrow \dfrac{3\sin x}{\sin ^2x}+\dfrac{3\sin x\cos x}{\sin^2 x}\\\\\Rightarrow \dfrac{3}{\sin x}+\dfrac{3\cos x}{\sin x}\\\\\Rightarrow 3\csc x+3\cot x

Left side is equal to right side

Hence, proved

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The coefficient of determination is used to: compute correlations for truncated ranges. compare the relative strength of coeffic
kozerog [31]

Answer: compare the relative strength of coefficients.

Step-by-step explanation: The Coefficient of determination usually denoted as R^2 is obtained by taking the squared value of the correlation Coefficient (R). It's value ranges from 0 to 1 and the value obtained gives the proportion of variation in the dependent variable which could be attributed to it's correlation or relationship to th independent variable. With a R^2 value close to 1, this means a large portion of Variation in a variable A could be explained due to changes in variable B while a low value signifies a low variance between the variables. Hence, the Coefficient of determination is used in comparing the relative strength of the Coefficients in other to establish whether a weak or strong relationship exist.

6 0
3 years ago
7^16/7^12=7^-18/? what is the missing denominator
creativ13 [48]
\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{  n}}}\implies \cfrac{1}{a^{-{{  n}}}}\\\\
-------------------------------\\\\

\bf \cfrac{7^{16}}{7^{12}}=\cfrac{7^{-18}}{x}\implies x\cdot 7^{16}=7^{12}\cdot 7^{-18}\implies x\cdot 7^{16}=7^{12-18}
\\\\\\
x\cdot 7^{16}=7^{-6}\implies x=\cfrac{7^{-6}}{7^{16}}\implies x=\cfrac{7^{-6}\cdot 7^{-16}}{1}\implies x=7^{-6-16}
\\\\\\
\boxed{x=7^{-22}}\implies x=\cfrac{1}{7^{22}}
4 0
3 years ago
Donna made $396 for 18 hours of work.
amm1812

Answer:

$286

Step-by-step explanation:

396/18 = $22 per hr x 13 hrs = $286

Plz give Brainliest

5 0
3 years ago
What is 8w + 9 < –31
elixir [45]

Answer:

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Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Given the size and mass of each of the solid cubes X and Y, how many
Anuta_ua [19.1K]
Since 
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density of cube X = (cube X's mass) / (cube X's volume)
lets name "(cube X's mass) / (cube X's volume)" as "x"

density of cube Y = (cube Y's mass) / (cube Y's volume)
lets name "(cube Y's mass) / (cube Y's volume)" as "y"

then to calculate <u>how many times</u> is the density of cube X to density of cube Y, then it will be x/y

if calculating <u>how many times greater</u><u />, then it is (x-y)/y

though the phrase "how many times greater" can also mean "how many times". 
6 0
3 years ago
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