All categories

3 years ago

Tan(x - 3 π ) = _____ -1 1 -tanx tanx

1 answer:

3 0

$\bf \textit{Sum and Difference Identities} \\\\ tan(\alpha + \beta) = \cfrac{tan(\alpha)+ tan(\beta)}{1- tan(\alpha)tan(\beta)} \qquad tan(\alpha - \beta) = \cfrac{tan(\alpha)- tan(\beta)}{1+ tan(\alpha)tan(\beta)} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ tan(x-3\pi )=\cfrac{tan(x)-tan(3\pi )}{1+tan(x)tan(3\pi )} \\\\[-0.35em] ~\dotfill$

$\bf tan(3\pi )\implies \cfrac{sin(3\pi )}{cos(3\pi )}\implies \cfrac{0}{-1}\implies 0\qquad therefore \\\\[-0.35em] ~\dotfill\\\\ tan(3\pi )=\cfrac{tan(x)-tan(3\pi )}{1+tan(x)tan(3\pi )}\implies tan(x-3\pi )=\cfrac{tan(x)-0}{1+0} \\\\\\ tan(x-3\pi )=\cfrac{tan(x)}{1}\implies tan(x-3\pi )=tan(x)$

You might be interested in

Which function is equivalent to f(x) =2x² - 8x + 3?

Afina-wow [57]

Answer:

the answer would be the last one : g(x) = 2(x-2)² - 5

Step-by-step explanation:

I I highly recommend photomath for problems like these because you can easily type in this problem, get the answer, and it gives you a step-by-step process of how it got the answer, and it's free!

8 0

4 years ago

A company that manufactures and sells consumer video cameras sells two versions of their popular hard disk camera, a basic came

saul85 [17]

Answer:

The percentage of customers who buy an extended warranty is 33%.

Step-by-step explanation:

In this problem, we have these following percentages.

35% of the customers select the basic camera.

This also means that:

65% of the customers select the deluxe version. (Since you can buy only two versions of the hard disk camera and the sum of the percentages is 100%).

20% of those who select the basic camera also purchase the extended warranty.

40% of those who select the deluxe version also purchase the extended warranty.

What is the percentage of customers who buy an extened warranty?

$P = P_{1} + P_{2}$

$P_{1}$ is the percentage of those who buy the basic version with the extended warranty. So it is 20% of 35%. So

$P_{1} = 0.20*0.35 = 0.07$

$P_{2}$ is the percentage of those who buy the deluxe version with the extended warranty. So it is 40% of 65%. So

$P_{2} = 0.40*0.65 = 0.26$

$P = P_{1} + P_{2} = 0.07 + 0.26 = 0.33$

The percentage of customers who buy an extended warranty is 33%.

3 0

4 years ago

What is the measure of the space occupied by a solid. (Measured in cubic units)

Studentka2010 [4]

Volume. Hope this helps!

7 0

3 years ago

Thomas invested $8,500 for one year. Part of the money was invested at6% and the rest at 9%. The total interest earned was $667.

oee [108]

Okay so say that x=amount invested with 6% and y=amount invested with 9%
x+y=8,500 so > x=8500-y
6%=0.06 <span>9%=0.09</span>
0.06x +0.09y=667.5 (Substitute in x=8500-y so only numbers and y)
0.06(8500-y)+0.09y=667.5 (expand brackets)
510-0.06y+0.09y=667.5 (-510)
0.03y=117.5 (/0.03)
$3916.67=Y ->9%
X=8500-Y
x=$4583.33 ->6%

4 0

4 years ago

9 hours = days can anyone tell me<br>

stealth61 [152]

How many minutes are in 9 hrs

1 hr = 60 min

You must apply dimensional analysis (aka setting up fractions where the units you want will cancel out and the ones you want stay)

$\frac{9 hr}{1} *\frac{60 min}{1hr}$