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prohojiy [21]
3 years ago
9

Use your understanding of the symmetry of the sine and cosine functions to determine the value of tan(−theta) for all

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
7 0

Answer:

tan(-\theta)=-tan\theta

Odd function

Step-by-step explanation:

We are given that

tan(-\theta)

We have to determine the value of tan(-\theta)and find tangent function is odd,even or neither.

tan(-\theta)=\frac{sin(-\theta)}{cos(-\theta)}

tan\theta=\frac{sin\theta}{cos\theta}

We know that

sin(-\theta)=-sin\theta

cos(-\theta)=cos\theta

By using  identities

Then, we get

tan(-\theta)=\frac{-sin\theta}{cos\theta}=-tan\theta

tan(-\theta)=-tan\theta

Odd function: If f(-x)=-f(x)

Even function:If f(-x)=f(x)

tan(-\theta)=-tan\theta

Therefore, function is an odd function.

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What is the equation of the perpendicular bisector of the segment joining points A(1, 1) and B(5, 7)?
Elden [556K]
Bisector must pass through the mid-point, so we have to find out that mid-point of the segment:

mid point = x₁+x₂ / 2 , y₁+y₂/2
= 1 + 5 / 2 , 1 + 7 / 2
= 6/2 , 8/2
= (3, 4)

Slope of given segment = m = y₂-y₁ / x₂- x₁
m = 7-1 / 5-1
m = 6/4
m = 3/2

Now, segment which is perpendicular, will have the opposite & reciprocal slope, So, it would be: -2/3

We know, y - y₁ = m(x - x₁)
y - 4 = -2/3(x - 3)
y - 4 = -2/3x + 2
y = -2/3x + 6

In short, Your Final Answer would be: y = -2/3x + 6

Hope this helps!
8 0
3 years ago
PLEASE HELP ASAP!!!!!!
Anna71 [15]

Answer:

its A

Step-by-step explanation:

-37 plus 23 is - 14 which is still negative so it still to the left of the zero

4 0
2 years ago
Use the zero product property to find the solutions to the equation (x 2) (x 3) = 12.
oee [108]

The solution of the given equation is -6 and 1.

<h3>What is Quadratic Equation?</h3>

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

Here, given equation:

  (x+2)(x+3) = 12

 x(x+3)+2(x+3) = 12

 x² + 3x + 2x + 6 = 12

 x² + 5x + 6 - 12 = 0

 x² + 5x - 6 = 0

 x² + 6x - x - 6 = 0

 x(x+6) -1(x+6) = 0

 (x+6)(x-1) = 0

Now, x + 6 = 0      or      x - 1 = 0

        x = -6           or      x = 1

Thus, the solution of the given equation is -6 and 1.

Learn more about Quadratic Equation from:

brainly.com/question/17177510

#SPJ1

8 0
2 years ago
The product of a 7 and a number.
Virty [35]

it would look like this: x times 7 -> 7x

8 0
3 years ago
What percentage of 440 is 325
GuDViN [60]

The answer would be 73.86

3 0
2 years ago
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