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julia-pushkina [17]
3 years ago
8

Find a numerical value of one trigonometric function of x if sinxcotx=1/3

Mathematics
2 answers:
algol133 years ago
7 0
Sin x cotx = sin x * cos x / sin x  = cos x

so cos x = 1/3
NemiM [27]3 years ago
4 0

Answer:

A numerical value of one trigonometric function of x, for the given function would be cos(x)=\frac{1}{3}

Step-by-step explanation:

We know that there are many trigonometric functions, <em>that can be expressed as functions of x</em>, for example:

sin(x)

cos(x)

tan(x)

cot(x)

csc(x)

So, the problem is aking us for one trigonometric function of x, <u>but gives us a product of functions of x</u>, instead of one function of x. We note then, that

cot(x)=\frac{cos(x)}{sin(x)}

Therefore, we calculate from the given function

sin(x)*\frac{cos(x)}{sin(x)}=cos(x)=\frac{1}{3}

wich is our answer, furthermore, <em>we could calculate the value of x for this case</em>

x=cos^-1(\frac{1}{3})\approx70.5

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10x + 12 = [2+3(2x-4)+1]<br> Solve for x
pogonyaev

Answer:

-21/4

Step-by-step explanation:

3 0
3 years ago
Hey You <br> YES YOU CAN ANSWER THIS PLEASE<br> solve for T: 4 j= -9T
OLEGan [10]
-9T means -9 x T
So if T is equivalent to 4,
you should do:
-9 x 4 = -36
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8 0
3 years ago
What are the endpoint coordinates for the midsegment of △PQR that is parallel to PQ¯¯¯¯¯?
andriy [413]

Answer:

M(x₄ ,y₄) = (-3.5 , 0.5)  and

N (x₅ ,y₅) = ( -1 , -0.5 )

Step-by-step explanation:

Let the endpoint coordinates for the mid segment of △PQR that is parallel to PQ be

M(x₄ ,y₄) and N(x₅ ,y₅) such that MN || PQ

point P( x₁ , y₁) ≡ ( -3 ,3 )

point Q( x₂ , y₂) ≡ (2 , 1 )

point R( x₂ , y₂) ≡ (-4 , -2)  

To Find:

M(x₄ ,y₄) = ?  and

N (x₅ ,y₅) = ?

Solution:

We have Mid Point Formula as

Mid\ point(x,y)=(\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2})

As M is the mid point of PR and N is the mid point of RQ so we will have

Mid\ pointM(x_{4} ,y_{4})=(\frac{x_{1}+x_{3} }{2}, \frac{y_{1}+y_{3} }{2})

Mid\ pointN(x_{5} ,y_{5})=(\frac{x_{2}+x_{3} }{2}, \frac{y_{2}+y_{3} }{2})

Substituting the given value in above equation we get

Mid\ pointM(x_{4} ,y_{4})=(\frac{-3+-4 }{2}, \frac{3+-2} }{2})

∴ Mid\ pointM(x_{4} ,y_{4})=(\frac{-7} }{2}, \frac{1}{2})

∴ Mid\ pointM(x_{4} ,y_{4})=(-3.5, 0.5)

Similarly,

Mid\ pointN(x_{5} ,y_{5})=(\frac{2+-4 }{2}, \frac{1+-2 }{2})

∴ Mid\ pointN(x_{5} ,y_{5})=(\frac{-2 }{2}, \frac{-1}{2})

∴ Mid\ pointN(x_{5} ,y_{5})=(-1, -0.5)

∴ M(x₄ ,y₄) = (-3.5 , 0.5)  and

  N (x₅ ,y₅) = ( -1 , -0.5 )

3 0
3 years ago
X - - 3 = 10 <br><br> What is the value of x?
Pepsi [2]

Answer:

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Step-by-step explanation:

Rule: an even number of - signs written one after another produces a plus number.

So - - 3 = 3

The rule also lets you do something strange like

- - - - 4 = 4 but you hardly ever see this.

Rule: an odd number of minus signs produces a minus number.

x + 3 = 10                 Subtract 3 from both sides.

x + 3 - 3 = 10 - 3      

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4 0
3 years ago
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Cerrena [4.2K]

Answer:

7A - 42

Step-by-step explanation:

7(A - 6)  \\ = 7A - 7 \times 6 \\  = 7A - 42

4 0
3 years ago
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