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3 years ago

Prove that sin(x)/1-cos(x) = 2 · csc(x) using trigonometric identities. Show all steps taken.

Mathematics

1 answer:

Gwar [14]3 years ago

7 0

Answer:

Step-by-step explanation:

sin(x) + tan(x)=sin(X) + sin(x)/cos(x)

=sinx(1+1/cosx)

=sinx(1+secx)

=1+secx/cosecx. (Since sinx=1/cosecx)

Hence LHS=RHS proved

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Find the rectangular coordinates of the point ( -3, 1/2 π)

alexdok [17]

Answer:

$x = -3 cos (\frac{\pi}{2})= 0$

$y = -3 sin (\frac{\pi}{2})= -3$

And then the rectangular coordinates for this case are :

$(x = 0 , y = -3)$

Step-by-step explanation:

We have the following point given $P = (-3, \frac{\pi}{2})$ and we want to conver from polar to rectangular coordinates and we need to use the following formulas:

$x = r cos \theta$

$y = r sin \theta$

For this case we have that:

$r = -3$

And:

$\theta = \frac{\pi}{2}$

Replacing we got:

$x = -3 cos (\frac{\pi}{2})= 0$

$y = -3 sin (\frac{\pi}{2})= -3$

And then the rectangular coordinates for this case are :

$(x = 0 , y = -3)$

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4 years ago

I want to be smart at school and I am getting really for the test too.

kicyunya [14]

Great job was is you strategies

4 0

3 years ago

Which of the following points are on the line given by the equation y equals 2x?

Rina8888 [55]

Answer:

(5,10)

(3,6)

Step-by-step explanation:

The equation y=2x means that 2 multiplied by the first value would equal the second value, so this means that the second value is twice as much as the first value. This is not true for the first option because 8 is not twice of 16, and this is the same for (4,6), (4,2), and (1,3). Therefore (5,10) and (3,6) work.

5 0

3 years ago

When network cards are communicating, bits can occasionally be corrupted in transmission. Engineers have de- termined that the n

ycow [4]

Answer:

a) 11.40% probability of 5 bits being in error during the transmission of 1 kb

b) 11.60% probability of 8 bits being in error during the transmission of 2 kb

c) 0.01% probability of no error bits in 3kb

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$