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3 years ago

Verify the identity: tan(x+pi/2)=-cotx please!!

1 answer:

5 0

First we use sin(a+b)= sinacosb+sinbcosa
and cos(a+b)=cosa cosb -sinasinb

tan(x+pi/2)= sin(x+pi/2) / cos(x+pi/2)
and sin(x+pi/2) = sinxcospi/2 + sinpi/2cosx =cosx,
cos(x+pi/2) = cosxcospi/2- sinxsinpi/2= - sinx,
 because cospi/2 =0, and sinpi/2=1

=tan(x+pi/2)= sin(x+pi/2) / cos(x+pi/2)= cosx / -sinx = -1/tanx = -cotx
from where tan(x+pi/2)=-cotx

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How do you write 5.44 in words?

wel

Answer:

five and forty-four hundredths

Step-by-step explanation:

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2 years ago

Read 2 more answers

To finance her community college education, Sarah takes out a loan for $3700. After a year Sarah decides to pay off the inter

iragen [17]

So, to solve this, we use this equation:
3700 + 0.05(3700)
But, if we want to make it shorter:
1.05(3700)
Now you just multiply(you may want to use a calculator)
1.05(3700) = 3885
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3 years ago

Find the P-value for the hypothesis test with a standardized test statistic z. Decide whether toreject the null hypothesis for t

iren2701 [21]

Answer:

1.) We don't reject the null

2.) We reject the Null

3.) We do not reject the null

Step-by-step explanation:

Obtaining p values using test statistic:

Given that ; we have a standardized test statistic and α - values ;

Let's define the decision region :

If Pvalue < α ; Reject H0 ; otherwise, fail to reject H0

A.)

Left tail , Z = - 1.32 ; α = 0.10

We can use the Pvalue calculator from Z score :

Pvalue = 0.934

Pvalue > α ; Hence, we fail to reject the null, H0

B.)

Right-tailed test, z = 2.46, α = 0.01

Pvalue from Zscore calculator ;

Pvalue = 0.0069

Pvalue < α ; Hence, we reject the null, H0

C.)

Two-tailed test, z = -1.68, α = 0.05

Pvalue from Zscore calculator ;

Pvalue = 0.093

Pvalue > α ; Hence, we fail to reject the null, H0

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2 years ago

Amy said 4/9 of her teammates got hits during a recent softball game. Which decimal represents this same amount?

trapecia [35]

Answer:

.....Your answer is D

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3 years ago

Joe needs to buy supplies for a birthday party. At the store, balloons cost $0.50 each and party hats each cost $1.25. If Joe wa

VladimirAG [237]

Answer:

$0.50b+1.25h=20$

Step-by-step explanation:

Let b be the number of balloons and h be number of party hats.

We have been given that balloons cost $0.50 each, so cost of b balloons will be 0.50b.

We are also told that party hats each cost $1.25, so cost of h party hats will be 1.25h.

Further, Joe wants to spend exactly $20 on the party supplies. We can represent this information in an equation as:

$0.50b+1.25h=20$

Therefore, the equation $0.50b+1.25h=20$ represents the number of balloons ( b) and the number of party hats ( h) that Joe can buy spending exactly $20.

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3 years ago