All categories

3 years ago

Can someone check this, please (I do report as needed and I do mark brainliest)? Thank you!

Mathematics

1 answer:

vodomira [7]3 years ago

7 0

Answer:

Step-by-step explanation:

cotx/cscx=cosx

Start on the left side.

cos(x) csc(x)

Apply the reciprocal identity to csc (x) .

cos(x) 1/sin(x)

Simplify

cos(x) 1/sin(x)cos(x)/sin(x)

Rewrite cos(x)/sin(x) as cot(x) .

cot(x)

Because the two sides have been shown to be equivalent, the equation is an identity.

cos(x) csc(x)=cot(x) is an identity

cot(x)−tan(x)/sin(x)cos(x)=csc^2(x)−sec^2(x) is an identity

You are correct :)

You might be interested in

At an airport , it costs $7 to park for up to one hour and $5 per hour for each additional hour. Let x represent the number of h

avanturin [10]

C(x) = 5x + 2

This is because at 1 hour it only cost 7 dollars, so it should only have 2 added to the end.

5 0

3 years ago

Juan buys a pen for $1.75. what change he should receive if he gives the clerk $5.00?

Ksenya-84 [330]

Subtract 1.75 from 5.00
5.00-1.75= 3.25

6 0

3 years ago

Read 2 more answers

There are 10 boys and 8 girls in the chess club at West Middle School. The principal randomly selects one student from the chess

egoroff_w [7]

Answer:

5/9 of a chance

Step-by-step explanation:

or a 55.55- chance

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7B49%7D%7B81%7D%20%7D%20" id="TexFormula1" title=" \sqrt{ \frac{49}{81

NNADVOKAT [17]

7/9 and 0.7 one is points and one is a fraction

7 0

3 years ago

Read 2 more answers

A recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with

tia_tia [17]

Answer:

Probability that deliberation will last between 12 and 15 hours is 0.1725.

Step-by-step explanation:

We are given that a recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with a mean equal to 12.56 hours with a standard deviation of 6.7 hours.

<em>Let X = length of time that juries deliberate on a verdict for civil trials</em>

So, X ~ N( $\mu = 12.56, \sigma^{2} = 6.7^{2}$ )

The z score probability distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean time = 12.56 hours

$\sigma$ = standard deviation = 6.7 hours

So, Probability that deliberation will last between 12 and 15 hours is given by = P(12 hours < X < 15 hours) = P(X < 15) - P(X $\leq$ 12)

P(X < 15) = P( $\frac{X-\mu}{\sigma}$ < $\frac{15-12.56}{6.7}$ ) = P(Z < 0.36) = 0.64058

P(X $\leq$ 12) = P( $\frac{X-\mu}{\sigma}$ $\leq$ $\frac{12-12.56}{6.7}$ ) = P(Z $\leq$ -0.08) = 1 - P(Z < 0.08)

= 1 - 0.53188 = 0.46812

<em>Therefore, P(12 hours < X < 15 hours) = 0.64058 - 0.46812 = 0.1725</em>

Hence, probability that deliberation will last between 12 and 15 hours is 0.1725.

7 0

3 years ago