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
erastovalidia [21]
3 years ago
15

Which basic trigonometric identity would you use to verify that tan x cos x =sin x

Mathematics
1 answer:
True [87]3 years ago
7 0

Answer:

\huge\boxed{\tan x=\dfrac{\sin x}{\cos x}}

Step-by-step explanation:

\tan x\cos x=\sin x\\\\\tan x=\dfrac{\sin x}{\cos x}\\\\\text{Therefore}\\\\\tan x\cos x=\dfrac{\sin x}{\cos x}\cdot\cos x\qquad\text{cancel}\ \cos x\\\\\tan x\cos x=\sin x\\\\\text{For}\ x\neq\dfrac{\pi}{2}+k\pi},\ k\in\mathbb{Z}

You might be interested in
Which of the following are solutions to the equation below?
Luden [163]

Answer:

c) -4/5

d) 4/5

Step-by-step explanation:

The given equation is 25x^2 -16 = 0

Adding 16 on both sides, we get

25x^2 = 16

Dividing both sides by 25, we get

x^2 = 16/25

Taking square root on both sides, we get

x = √(16/25)

x = ±4/5

Therefore, x = 4/5 and x = -4/5

Answers: C) and D)

Hope this will helpful to understand the concept.

Thank you.

4 0
3 years ago
A football field is 100 yards long. How many feet is that?
Dmitriy789 [7]

1 yard=3 feet so 100 yard=300 feet

3 0
3 years ago
Read 2 more answers
Distance between (-6, -2) and (0,-1)
s344n2d4d5 [400]

Hey there! I'm happy to help!

To find the distance between two points, you square the difference of the x-values and square the difference of the y-values, add them, and then you square root it!

First, we'll add our two x-values.

-6-0= -6

We square it, which means to multiply it by itself.

-6(-6)=36        (If you multiply an even number of negative numbers, your answer is positive. Since we have two negative numbers, we get positive 36)

Now, we do the same with the y-values.

-2-(-1)=-1           (two negatives make it a plus, as in minus minus 1 is plus one.)

We square it.

-1(-1)=1              

Now, we add these x and y value differences.

36+1=37

Now, we find the square root using a calculator.

√37≈6.08

Have a wonderful day!

5 0
3 years ago
William has 24 24 cans of fruit and 60 60 cans of vegetables that he will be putting into bags for a food drive. He wants each b
Snezhnost [94]

Answer:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

Step-by-step explanation:

Given:

Number of fruits cans = 24

Number of veggies cans = 60

William will have to distribute them in equal bags with equal cans of fruits and vegetables respectively.

For this:

We have to find the GCF (greatest common factor) of 24 and 60.

GCF by listing out the factors method.

Factors of 24  : 1,2,3,4,6,8,12,24

Factors of 60 : 1,2,3,4,5,6,10,12,15,20,30,60

So,

The greatest common factor of 24 and 60 is 12.

The number of bags William will used for equal distribution = 12

Now,

We have to distribute the veggies and fruits in equal number of cans to these 12bags.

Number of fruits cans used in each bag = \frac{24}{12} = 2

Number of vegetables can used in each bag = \frac{60}{12} =5

We can say that:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

4 0
3 years ago
(Write the fraction as a mixed number) Anyone able to help out with my 4 questions?
s344n2d4d5 [400]
Yes !  I can help you.

-- Take each fraction.

-- Do the division . . . (top number) divided by (bottom number) .

-- Write the whole number from the quotient.
    Save the remainder.

-- After the whole number, write a fraction.
   Copy the original bottom number to the bottom of the fraction.

-- Copy the remainder from the division to the top of the fraction.

Bada-bing !  There's your mixed number.
7 0
3 years ago
Read 2 more answers
Other questions:
  • A card is drawn from a well shuffled deck of 52 cards find the probability of drawing a spade or a heart
    14·2 answers
  • an anchor line for a tower needs to be replaced. the tower is 96ft tall. the anchor line is 105ft long. how far from the tower c
    11·1 answer
  • The area of the base of a cylinder is 45 square inches and it's height is 10 inches. A cone has the same are for its base and th
    15·1 answer
  • Pls Need Help!
    10·2 answers
  • 1. Identify the like terms in the expression.<br> -8u + 11 + 4u -7
    7·2 answers
  • 7. A survey showed that 55% of a travel company's customers were planning an
    14·2 answers
  • PLZ HELP ill give brainliest​
    11·1 answer
  • Anyone know cab you solve please and thank you
    13·1 answer
  • A cone has a radius of 10 and a height of 3. What is the volume of the cone?
    5·1 answer
  • These are the means and standard deviations for samples of prices from two
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!