1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anastaziya [24]
1 year ago
14

1-tan^2(x)/sec^2 = cos(2x)

Mathematics
1 answer:
LekaFEV [45]1 year ago
3 0

By applying the formula of trigonometric function the right hand side will

be equal to right hand side which is 1-tan^{2} x/sec^{2}x=cos2x.

Given: 1-tan^{2} x/sec^{2}x=cos2x.

Taking right hand side first which is cos2x.

We know that cos2x=1-tan^{2}x/1+tan^{2}x

Now we will solve the left hand side of the equation give which is

1-tan^{2} x/sec^{2}x

=1-tan^{2}x/1+tan^{2}x

[secant square x minus tangent square x is equal to 1]

By putting both values left hand side and right hand side we will find our solution which is :

1-tan^{2}x/1+tan^{2}x=1-tan^{2}x/1+tan^{2}x.

Hence proved

Learn more about trigonometric functions at brainly.com/question/24349828

#SPJ10

You might be interested in
2.A production process manufactures items with weights that are normally distributed with mean 10 pounds and standard deviation
Vesna [10]

Answer:

Step-by-step explanation:

Given that:

population mean = 10

standard deviation = 0.1

sample mean = 9.8 < x > 10.2

The z score can be computed as:

z = \dfrac{\bar x - \mu}{\sigma}

if x > 10.2

z = \dfrac{10.2- 10}{0.1}

z = \dfrac{0.2}{0.1}

z = 2

If x < 9.8

z = \dfrac{9.8- 10}{0.1}

z = \dfrac{-0.2}{0.1}

z = -2

The p-value = P (z ≤ 2) + P (z ≥ 2)

The p-value = P (z ≤ 2) + ( 1 -  P (z ≥ 2)

p-value = 0.022750 +(1 -   0.97725)

p-value = 0.022750 +  0.022750

p-value = 0.0455

Therefore; the probability of defectives  = 4.55%

the probability of acceptable = 1 - the probability of defectives

the probability of acceptable = 1 - 0.0455

the probability of acceptable = 0.9545

the probability of acceptable = 95.45%

4.55% are defective or 95.45% is acceptable.

sampling distribution of proportions:

sample size n=1000

p = 0.0455

The z - score for this distribution at most 5% of the items is;

z = \dfrac{0.05 - 0.0455}{\sqrt{\dfrac{0.0455\times 0.9545}{1000}}}

z = \dfrac{0.0045}{\sqrt{\dfrac{0.04342975}{1000}}}

z = \dfrac{0.0045}{\sqrt{4.342975 \times 10^{-5}}}

z = 0.6828

The p-value = P(z ≤ 0.6828)

From the z tables

p-value = 0.7526

Thus, the probability that at most 5% of the items in a given batch will be defective = 0.7526

The z - score for this distribution for at least 85% of the items is;

z = \dfrac{0.85 - 0.9545}{\sqrt{\dfrac{0.0455\times 0.9545}{1000}}}

z = \dfrac{-0.1045}{\sqrt{\dfrac{0.04342975}{1000}}}

z = −15.86

p-value = P(z ≥  -15.86)

p-value = 1 - P(z <  -15.86)

p-value = 1 - 0

p-value = 1

Thus, the probability that at least 85% of these items in a given batch will be acceptable = 1

6 0
2 years ago
One glass of milk provides 305mg of calcium. Maggie drinks one glass of milk every morning. How many grams of calcium does Maggi
Komok [63]
She drinks 4.27 grams on calcium in 14 days at one glass of milk containing 14 mg per day
8 0
3 years ago
Read 2 more answers
The large bottle of nasal spray is 9.46 centimeters tall. The small bottle is 5.29 centimeters tall. How much shorter is the sma
posledela

Answer:

4.17 centimeters

Step-by-step explanation:

The large bottle of nasal spray is 9.46 centimeters tall. Assuming that the large bottle of nasal spray has the shape of cylinder, then the height of the cylinder is 9.46 centimeters.

The small bottle is 5.29 centimeters tall. Assuming that the small bottle of nasal spray has the shape of a cylinder too, then the height of the cylinder is 9.46 centimeters.

We want to know how much shorter the smaller bottle is than the big bottle. This is calculated by

Height of big bottle - height of small bottle

= 9.46 centimeters. - 5.29 centimeters

= 4.17 centimeters

5 0
2 years ago
Which is the pattern for factoring the sum of cubes​
vovikov84 [41]

Answer: Its B

Step-by-step explanation: trust me i had this test

4 0
3 years ago
Read 2 more answers
Please help!!!!!!!!!
dimaraw [331]

Answer:

Step-by-step explanation:

it is C

7 0
2 years ago
Read 2 more answers
Other questions:
  • In Chelsea's group, there are three boys and six girls. Write a fraction to represent the amount of boys in the group.
    10·1 answer
  • Two distinct number cubes, one red and one blue, are rolled together. Each number cube has sides numbered 1 through 6. What is t
    6·1 answer
  • Inez has to pay 4 percent in closing costs and 16 percent for the down payment on a purchase of $225,500 with an ARM. Over the l
    15·1 answer
  • Find the average rate of change from x = 2<br> to x =4
    11·1 answer
  • -38/-8 plz help me plz​
    5·2 answers
  • A restaurant receives a shipment of
    8·1 answer
  • MO bisects ∠LMN, m∠NMO =6x-20,and 2x+36. Solve for x and find m∠LMO
    15·1 answer
  • What is the gradient of the line that passes through the points (0,0) and (7,28)?
    9·1 answer
  • -2/9 - (-1/3 divided 3/5)<br> PLEASE HURRYY
    14·2 answers
  • Help me please it's due at 3pm this is only up to you guys to help me
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!