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wariber [46]
2 years ago
11

Fill in the blank !! question in picture below i have no clue what to do

Mathematics
1 answer:
Brilliant_brown [7]2 years ago
4 0
(tanx)^2

Proof:

Verify the following identity:
(sec(x) - 1) (sec(x) + 1) = tan(x)^2

Write secant as 1/cosine and tangent as sine/cosine:
(1/cos(x) - 1) (1/cos(x) + 1) = ^? (sin(x)/cos(x) )^2 

(sin(x)/cos(x))^2 = (sin(x)^2)/(cos(x)^2):
(1/cos(x) - 1) (1/cos(x) + 1) = ^?(sin(x)^2)/(cos(x)^2)

Put 1/cos(x) - 1 over the common denominator cos(x): 1/cos(x) - 1 = (1 - cos(x))/cos(x):
(1 - cos(x))/cos(x) (1/cos(x) + 1) = ^?(sin(x)^2)/(cos(x)^2)

Put 1/cos(x) + 1 over the common denominator cos(x): 1/cos(x) + 1 = (cos(x) + 1)/cos(x):
(1 - cos(x))/cos(x) (cos(x) + 1)/cos(x) = ^?(sin(x)^2)/(cos(x)^2)

((1 - cos(x)) (cos(x) + 1))/(cos(x) cos(x)) = ((1 - cos(x)) (cos(x) + 1))/cos(x)^2:
((1 - cos(x)) (cos(x) + 1))/(cos(x)^2) = ^?(sin(x)^2)/(cos(x)^2)

Multiply both sides by cos(x)^2:
(1 - cos(x)) (cos(x) + 1) = ^?sin(x)^2

(1 - cos(x)) (cos(x) + 1) = 1 - cos(x)^2:
1 - cos(x)^2 = ^?sin(x)^2

sin(x)^2 = 1 - cos(x)^2:
1 - cos(x)^2 = ^?1 - cos(x)^2

The left-hand side and right-hand side are identical:
Answer: (identity has been verified)

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4 0
3 years ago
If biology is 40% and chemistry is 24% and earth science is blank and so is physics. There are 4% more students signed up for an
san4es73 [151]

Given data:

The given biology percentage is B=40%.

The given chemistry percentage is C=24%.

The percenage of earth science as compare to physics is E=P+4%.

The expresion for the sum of all subjects is,

B+C+E+P=100%

40%+24%+E+P=100%

E+P=36%.............................(I)

Substitute given value in the above expression.

P+4%+P=36%

2P=32%

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6 0
1 year ago
Determine the central angle and sum of exterior angles of an irregular nonagon
ololo11 [35]

Answer:

Step-by-step explanation:

You cannot find the exterior angles of any irregular nonagon. If it is a regular one, then you can. A regular nonagon has 9 sides and so 9 exterior angles all of which are equal to 360/9 = 40 degrees. The interior angle = 180 - 40 = 140 degrees.

7 0
3 years ago
Engineers want to design seats in commercial aircraft so that they are wide enough to fit 95​%of all males.​ (Accommodating 100%
Anarel [89]

Answer:

Upper P95 = 16.21in

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 14.4, \sigma = 1.1

Upper P 95

This is the 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.

Then

Z = \frac{X - \mu}{\sigma}

1.645 = \frac{X - 14.4}{1.1}

X - 14.4 = 1.1*1.645

X = 16.21

Upper P95 = 16.21in

3 0
3 years ago
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