Prove the identity
sin(x) = cos(x)tan(x)

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]sin ~x=sin~x \times \frac{cos~x}{cos~x} =\frac{sin~x}{cos~x} \times cos ~x=tan~x*cos ~x[/tex]


Related Questions

who smart enough to answer this?

Answers

50 is the answer well it’s 45 but your round to 50
B= 4.36

√10^2-9^2

10 is the hypotenuse

JK is J(-3 9) and K(5 -1), if LM is perpendicular to JK, what is the slope of LM?

Answers

Answer: 4/5

Step-by-step explanation:

what’s the correct answer

Answers

Answer:

D

Step-by-step explanation:

Evaluate the algebraic expression h + h when b = 3, d = 12, h = 2 and r = 7.
A. 12
B. 8
C. 4
D. 0

Answers

Answer:

4

Step-by-step explanation:

h + h

h=2

2+2

4


[tex]find \: the \: volume \: of \: cube \: \\ \\ side = 5m[/tex]

Answers

Volume of Cube = a³

side a = 5 Cm

Volume = 5³ = 125 Cm³

Answer:

125m³

Step-by-step explanation:

GIVEN :-

Length of a side of a cube = 5m

TO FIND :-

Volume of cube

GENERAL FORMULAE TO BE USED IN THIS QUESTION :-

Volume of a cube = (where a = length of each side of a cube)

SOLUTION :-

Volume of the cube = 5³ = 125 m³

1. All of the following are true except B. A. A random variable represents a numerical value assigned to an outcome of a probability experiment. In most applications, discrete random variables represent counted data. C. In most applications, continuous random variables represent measured data. D. The expected value of a discrete random variable is equal to the standard deviation of the random variable.

Answers

Answer:

The true statements are :

A. A random variable is a numerical description of the outcome of a statistical experiment.

B. In most​ applications, discrete random variables represent counted​ data.

C. In most applications, continuous random variables represent measured data.

Step-by-step explanation:

It is true statement that,

A. A random variable is a numerical description of the outcome of a statistical experiment.

B. In most​ applications, discrete random variables represent counted​ data.

C. In most applications, continuous random variables represent measured data.

The false statement is -

D. The expected value of a discrete random variable is equal to the standard deviation of the random variable.

Reason -

The mean value, or expected value, of a discrete random variable X is given by the following equation:

μ = E(x) = ∑ x p(x)

And

The variance of a discrete random variable is given by the following formula:

σ²=∑ (x−μ)² P(x)

And

The square root of the variance, or, in other words, the square root of σ², is the standard deviation of a discrete random variable :

σ = √σ²

2. The following data set shows the number of points scored by rugby team in season of matches: (5
27,25,16, 6,43,34, 16, 35,48,29,28,5,32,48,41,26,25,19,28,42,25
Find the a) mean
b) median
c) mode
d) range
e) interquartile range





Helppp

Answers

Answer:

Hope it helped :)

Step-by-step explanation:

[tex]a)Mean = \frac{sum \ of\ the\ data} {number\ of\ data} = \frac{598}{21} = 28.48\\\\b) Median = middle\ number = 28\\\\c)Mode = most \ frequently \ occured \ number = 25\\\\d) Range = 48 - 5 = 43\\\\e)Inter Quartile Range = Q_3 - Q_1 = 16[/tex]

If two line segments are congruent, which of the following must be true?
A.
They are equal.
B.
They have equal lengths.
C.
They share an endpoint.
D.
They form a right angle.

Answers

They have equal lengths is the correct answer

A. They are equal since they are both congruent

What number should be added to −5/11to get 26/33?

Answers

41/33 should be added to -15/33 (which is the same number as -5/11 but converted to have same denominator).
So answer is 41/33

In the question, "35 is what percent of 40?" what is the 35?

Answers

Answer:

35 is the 'is' and 40 is the 'of'

Step-by-step explanation:

is/of = %/100

35/40 = x/100

cross-multiply to get:

40x = 3500

x = 3500/40

x = 87.5

What is the solution to the system of equations below?


2 x + y = 7 3 x + 2 y = 16

Answers

Answer:

2x+y=7; 3x+2y=16

X = -2

Y = 11

HELPPPPPPPPPPP MEEEEEE

Answers

Answer:

Answer is D

Step-by-step explanation:

please answer pleaseee If two cards are chosen from a standard deck of cards one at a time and then placed back in the deck, the probability of choosing two 5s is

Answers

Answer:   1/169

============================================================

Explanation:

For now, let's focus on the probability of getting one "5".

There are 4 of these cards (one of each suit) and 52 total. The probability of getting the card we're after is 4/52 = 1/13.

We can think of it like saying "if we focus on one suit only, then there's a 1 in 13 chance of getting a '5' from this pile".

The probability of getting two "5"s in a row is (1/13)*(1/13) = 1/169 assuming we put the first card back. If the first card is not put back, then we would compute it like so: (4/52)*(3/51). I'll leave it unevaluated for you to try out as practice.

Side note: 1/169 = 0.0059 = 0.59% approximately

PLS HELP ASAP ITS DUE IN 2HR PLS

Answers

Answer:

From 10 a.m. to 2 p.m., the temperature at Sam's house increased by 8 degrees Fahrenheit.

Step-by-step explanation:

Write as a number equation ---->  2 - (-6) = 8

One leg of a right triangle is 24. What is the length of the other leg if the hypotenuse is 25?

Answers

Answer:

Hello! answer: 7

Step-by-step explanation:

24 × 24 = 576

7 × 7 = 49

576 + 49 = 625

√625 = 25

therefore the missing leg is 7

-3•2•a+5(-7b)+(12•c•4)

Answers

The answer is:
-6a + -35b + 48c

what is 1/2 cups into pints

Answers

Answer:

0.25 pints

Step-by-step explanation:

Hehe, i used goo. gle

HELPPP ME PLEASE IT’S A VERY IMPORTANT TESTTTTT

Answers

Answer:

B also have a great day today

Answer:

D, Between 5.4 and 6.5

Step-by-step explanation:

anything less than .5 gets rounded down and anything higher gets rounded up so it'll end up with 6

Recursive formula for
-4,3,10,17

Answers

Answer:

Recursive:

Step-by-step explanation:

Common difference ( d ):   17 - 10 = 7

Recursive Arithmetic:

[tex]a_n = a_{n-1} + d[/tex]

[tex]a_n = a_{n-1} + 7[/tex]

[tex]a_1 = -4[/tex]

Hopefully this helped!

Question 4 (1 point)
What is the area of a circle whose circumference is 28TT? Use 3.14 as the value of IT.

A. 1230.88 Square Units

B.615.44 Square Units

C.307.72 Square Unit

D.2461.76 Square Units

Answers

Answer:

B

Step-by-step explanation:

[tex]Circumference=2\pi r=28\pi \\2r=28\\r=14\\Area= \pi r^2=\pi 14^2=3.14*14^2=615.44[/tex]

The park was muddy and the dogs’ paws got muddy while playing. Jen has wipes to clean the dogs’ paws. It takes one wipe to clean each paw. How many wipes will they need?

pls give me the correct answer

Answers

Answer:

A regular dog has 4 legs so it has 4 paws. If each paw needs one wipe Jen will need 4 wipes.

Jen will need 4 wipes for each paw

f(x)=x². What is g(x)?
A. g(x) = 2x²
B. g(x) = (½x)²
C. g(x) = (4x)²
D. g(x) = (2x)²

Answers

C is the correct answer

Answer:

g(x) = (2x)²

Step-by-step explanation:

Use the given area A of the rectangle to find the value of x . A rectangle with its length labeled left-parenthesis 4 x plus 3 right-parenthesis feet and width labeled left-parenthesis 4 x minus 5 right-parenthesis feet. The area of the rectangle is 209 square feet.

Answers

Answer:

x = 4

Step-by-step explanation:

Length = (4x + 3) feet

Width = (4x - 5 )feet  

Area = Length x Breadth

209 = (4x + 3)(4x - 5)

209 = 4x( 4x -5) + 3 (4x -5)

[tex]209 = 16x^2 -20x +12x -15\\\\0 = 16x^2 -8x -15 -209\\\\16x^2 -8x -224 = 0[/tex]

[tex]Quadratic \ Equation \ with a = 16, b = -8, c = -224 \\\\x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}\\\\Substitute \ a, b, c \ in \ the \ equation.\\\\x = \frac{-b + \sqrt{b^2 -4ac}}{2a}, x =\frac{-b \ - \sqrt{b^2 -4ac}}{2a}\\\\x = \frac{8+ \sqrt{64 +14336}}{32}, x = \frac{8- \sqrt{64 +14336}}{32}\\\\x = \frac{8+ \sqrt{14400}}{32}, x = \frac{8-\sqrt{14400}}{32}\\\\x = \frac{8+120 }{32}, x= \frac{8-120}{32}\\\\x = \frac{128}{32} , x = \frac{-112}{32}\\\\x = 4 , x = \frac{-7}{2}[/tex]

Since measure of length or width cannot be negative, we take x = 4

30 POINTS I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS please help this is very important this is a big part of my grade

Answers

Answer:

[tex]1.\:2^x=64, x=\boxed{6},\\2.\:x=\left(\frac{2}{3}\right)^3,x=\boxed{\frac{8}{125}}\\3.\:3\cdot (3^4)=3^x, x=\boxed{5}\\4.\:\frac{16}{25}=x^2,x=\boxed{\frac{4}{5}},[/tex]

Step-by-step explanation:

[tex]1.\\\\2^x=64,\\\log 2^x=\log64,\\x\log 2=\log 64,\\x=\frac{\log 64}{\log 2}=\boxed{6}[/tex]

[tex]2.\\x=\left(\frac{2}{5}\right)^3=\frac{2^3}{5^3}=\boxed{\frac{8}{125}}[/tex]

3. This problem incorporates an exponent property.

Exponent property used: [tex]a^b\cdot a^c=a^{(b+c)}[/tex], yielding an answer of [tex]\boxed{5}[/tex]

[tex]4.\\\\\frac{16}{25}=x^2,\\x=\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\boxed{\frac{4}{5}}[/tex]

Answer:

1. 6

2. 8/25

3. 5

4. 4/5

Step-by-step explanation:

Find the cofunction of the expression with the same value as tan(2pi/11).

Answers

Answer:

The cofunction of [tex]\tan \frac{2\pi}{11}[/tex] is [tex]\cot \frac{7\pi}{22}[/tex].

Step-by-step explanation:

In trigonometry, a function is a cofunction of another if and only if [tex]f(A) = g(B)[/tex], where A and B are complementary angles. In this case, the complementary function of a tangent function must be a cotangent function, this is:

[tex]\tan \frac{2\pi}{11} = \cot \left(\frac{\pi}{2} - \frac{2\pi}{11} \right)[/tex]

[tex]\tan \frac{2\pi}{11} = \cot \frac{7\pi}{22}[/tex]

[tex]\tan \frac{2\pi}{11} = \frac{1}{\tan \frac{7\pi}{22} }[/tex]

[tex]0.642 = \frac{1}{1.556}[/tex]

[tex]0.642 = 0.642[/tex]

What is the circumference of this circle
R=2km

Answers

Answer:

12.57

Step-by-step explanation:

The formula is

2 (pie) r

2(pie)2

which would equal 12.57

If the ray ML makes an angle measuring 2 radians with the ray MN, and the length of the arc intercepted by the angle is 72 inches, what is the radius of the window?

Answers

Answer:

36 inches

Step-by-step explanation:

From the diagram attached,

Applying

s = 2πr∅/360

Where s = lenght of the arc, r = radius of the window, ∅ = angle formed in degree, π = pie.

make r the subject of the equation

r = 360s/2π∅................... Equation 2

From the question,

Given: s = 72 inches, ∅ = 2 radians = 114.6°

Constant: 3.14

Substitute these values into equation 2

r = (360×72)/(114.6×3.14×2)

r = 25920/719.688

r = 36 inches

Look at the picture

Answers

Its d because 16/12=1.33 same with 20/15 and 40/30 so its 24x1.33 which is 32 there for d is correct

i really need help. 20 points+brainliesttt

Answers

Answer:

I think c

Step-by-step explanation:

ummm I’m so bad at math lol

Answers

The correct option is B - Where the given data is plot correctly.

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