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aleksklad [387]
3 years ago
5

Tan theta is equal to 2- cos theta find the value of sin theta​

Mathematics
1 answer:
artcher [175]3 years ago
4 0

Answer:

sqrt(2)/2

Step-by-step explanation:

Given tan(x)=2-cot(x), find sin(x).

Rewrite in terms of sine and cosine:

sin(x)/cos(x)=2-cos(x)/sin(x)

Multiply both sides by cos(x)sin(x):

sin^2(x)=2sin(x)cos(x)-cos^2(x)

Rewrite cos^2(x) using the identity sin^2(x)+cos^2(x)=1:

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

Distribute:

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

Subtracting sin^2(x) on both sides:

0=2sin(x)cos(x)-1

Add 1 on both sides:

1=2sin(x)cos(x)

Use identity sin(2x)=2sin(x)cos(x) to rewrite right:

1=sin(2x)

Since sin(pi/2)=1, then 2x=pi/2.

Dividing both sides by 2 gives x=pi/4.

So sin(pi/4)=sqrt(2)/2

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SpyIntel [72]
So y+x=2
x-y=4
one way is subsituteion where yousubisutte one of the number for another exg

x-y=4
add y to both sides
x=y+4
subsitute y+4 for x in x+y=2
 y+4+y=2
2y+4=2
subtract 4 from both sides
2y=-2
divide both sides by 2
y=-1
subsiutte
x+y=2
x-1=2
x=3




or elimination

x+y=2
x-y=4
add the two equations and cancel the y terms

x+x+y-y=2+4
2x=6
divide both sides by 2
x==3
subsitute
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so x=3
y=-1
5 0
3 years ago
What is the solution to q/-7=6?
marta [7]

Answer:

q in (-oo:+oo)

q/(-7) = 6 // - 6

q/(-7)-6 = 0

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-1/7*q = 6 // : -1/7

q = 6/(-1/7)

q = -42

q = -42

Hope I was helpful! :)

5 0
3 years ago
Identify all factors of the expression 12x^2-14x-6
Evgen [1.6K]

Let's solve this by using the quadratic formula:

\frac{-b+-\sqrt{b^2-4ac} }{2a}


Note that we only use the coefficients so a=12, b=-14, and c=-6.

Plug values in the quadratic equation:

\frac{ -  ( - 14)± \sqrt{ {( - 14)}^{2} - 4(12)( - 6) } }{2(12)}

And so by evaluating those values we obtain:

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Now we have two answers which are our factors one where we add another where we subtract and so:

First factor:

\frac{14+22}{24}=\frac{36}{24}=\frac{3}{2}


Second Factor:

\frac{14-22}{24}=\frac{-8}{24}=-\frac{1}{3}


And so your factors are

\frac{3}{2},-\frac{1}{3}

meaning that those are your roots/x-intercepts.


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