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3 years ago

I need to find the identity of this equation for pre calc

Mathematics

1 answer:

Rama09 [41]3 years ago

6 0

Expand the left side using the angle sum identity for sine:

sin(x + π/2) = sin(x) cos(π/2) + cos(x) sin(π/2)

cos(π/2) = 0 and sin(π/2) = 1, so the right side reduces to

sin(x + π/2) = cos(x)

as required.

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The point P(18, 24) is on the terminal side of θ. Evaluate sin θ.

serious [3.7K]

sin θ = opposite/hypotenuse
P(18,24) lies in the first quadrant as both are positive.
x=18
y=24
Hypotenuse = sqrt (18^2 + 24^2)
Hypotenuse = 30
sin θ = 24/30
sin θ = 4/5
θ = sin^-1 (4/5)
θ = 53.13 degrees

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Answer:

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Step-by-step explanation:

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Which equation is equivalent to

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During a baseball game, a player’s ball hit into the outfield is modeled by the equation h = –16t2 + 65t. A bird flying across t

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Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.1 parts

satela [25.4K]

Answer:

$t=\frac{6.6-7.1}{\frac{1.0}{\sqrt{26}}}=-2.550$

Step-by-step explanation:

Data given and notation

$\bar X=6.6$ represent the sample mean

$s=1.0$ represent the sample standard deviation

$n=26$ sample size

$\mu_o =7.1$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is different from 7.1 ppm, the system of hypothesis would be:

Null hypothesis: $\mu = 7.1$

Alternative hypothesis: $\mu \neq 7.1$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{6.6-7.1}{\frac{1.0}{\sqrt{26}}}=-2.550$

5 0

3 years ago

I need to find the identity of this equation for pre calc ​

I need to find the identity of this equation for pre calc