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pentagon [3]
3 years ago
13

HELP dont answer this

Mathematics
1 answer:
Nataliya [291]3 years ago
8 0
Answer jejdidiswjwnsndnwjasnen
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Which of the following is not equal to sin⁡(-230°)?
xenn [34]

From trigonometry we know that:

if sin(\theta)=sin(\alpha)

then, \theta=n\pi+(-1)^n\alpha (where n is an integer)

This can be rewritten in degrees as:

\theta=n(180^{\circ})+(-1)^n\alpha.............(Equation 1)

Now, in our case, \alpha=-230^{\circ}

Therefore, (Equation 1) can be written as:

\theta=n(180^{\circ})+(-1)^n(-230^{\circ})..........(Equation 2)

Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of \theta that match.

For n=2, (Equation 2) gives us: \theta=2\times 180^{\circ}+(-1)^2(-230^{\circ})=360^{\circ}-230^{\circ}=130^{\circ}.

Thus, sin(230^{\circ})=sin(130^{\circ})

Now, we know that: -sin(-50^{\circ})=sin(50^{\circ})

Let n=-1, then:

\theta=(-1)\times 180^{\circ}+(-1)^{-1}(-230^{\circ})=-180^{\circ}+230^{\circ}=50^{\circ}

Thus, sin(-230^{\circ})=-sin(-50^{\circ})

Likewise, sin(-230^{\circ})=sin(50^{\circ})

Only the last option sin(-50^{\circ}) will never match sin(-230^{\circ}) because no integral value of n will ever give \theta=-50^{\circ}

Thus the last option is the correct option.

3 0
2 years ago
Read 2 more answers
9y-5x=20 i dono how to do this x and y intercwpt thingy
bagirrra123 [75]
     9y - 5x = 20
or, (9y - 5x) / 20 = 1
or, 9/20 y - 1/4 x = 1
compare with x/a + y/b = 1
you'll get
x intercept (a) = -4
y intercept (b) = 20/9

8 0
3 years ago
If today temperature is 7°C yesterday’s temperature was 13°C cooler what was the temperature yesterday
mel-nik [20]
Yessss yes uws uesbauaiiwns
3 0
3 years ago
Read 2 more answers
If y varies directly with x, and y = 2 when x = −4, what is the value of y when x = 20
Klio2033 [76]

Answer:

y = - 10

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 2 when x = - 4, that is

2 = - 4k ( divide both sides by - 4 )

= k, that is

k = -  

y = -  x ← equation of variation

When x = 20, then

y = -  × 20 = - 10

3 0
3 years ago
Simplify this expression: 5(2x² + 2x + 4) - 3x(x + 2) *<br><br>ill give brainliest :)​
inysia [295]

Answer:
7x2 + 4 x + 20

Step-by-step explanation:

Subtract 3x2 from 10x2.7x2+10x+20−6xSubtract 6x from 10x.7x2+4x+20

5 0
2 years ago
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