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Marina CMI [18]
4 years ago
15

The angle a is acute and sec a

Mathematics
1 answer:
Anna007 [38]4 years ago
7 0

Fundamentally you can get there using the identity

... sin(a)² + cos(a)² = 1

... 1/cosec(a)² + 1/k² = 1 . . . . . substituting for sec(a) and sin(a)

... 1/cosec(a)² = 1 - 1/k² = (k² -1)/k² . . . . subtract 1/k²

... cosec(a)² = k²/(k² -1) . . . . . Multiply by cosec(a)²k²/(k²-1)

... cosec(a) = k/√(k²-1) . . . . . .take the square root

_____

You can get there slightly faster using the identities tan²=sec²-1; csc=sec/tan.

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F(x)=^3 square root x-12 find the inverse of f(x)
Helen [10]

Answer:

the answer is x^3- 12....!

3 0
3 years ago
Dean says that 13% is greater than 0.1<br> Is Dean correct?<br> Give a reason for your answer.
Vladimir [108]
Yes, Dean is correct.

13% = 13/100 = 0.13

0.1 = 0.10

0.13 is greater than 0.10.
7 0
3 years ago
Read 2 more answers
Is the relationship shown by the data linear? If so, model the data with an equation.
zhenek [66]

Answer:

Therefore the equation of the line through ( -7 , 5 ) and ( -5 , 9) is

Linear Relationship i.e y-5=2(x+7)

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( -7, 5 )  

point B( x₂ , y₂) ≡ (-5, 9)  

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula

(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1}) \\

Substituting the given values in a above equation we get

(y-(5))=(\frac{9-(5)}{-5--7})\times (x--7)\\ \\(y-5)=\frac{4}{2}(x+7)\\\\y-5=2(x+7)...............\textrm{which is the required equation of the line AB}

Therefore the equation of the line through ( -7 , 5 ) and ( -5 , 9 ) is

Linear Relationship i.e y-5=2(x+7)

4 0
3 years ago
Which of the sets of ordered pairs represents a function? (4 points) A = {(−4, 5), (1, −1), (2, −2), (2, 3)} B = {(2, 2), (3, −2
elena55 [62]
A function will not have any repeating x values....it can have repeating y values, just not the x ones

(-4,5),(-1,1),(2,-2),(2,3)
this is not a function because it has 2 sets of points that has x as 2...so it has repeating x values

(2,2),(3,-2),(9,3),(9,-3)
this is not a function because it has 2 sets of points that has an x value of 9...so it also has repeating x values

so both of these are not functions.....neither of them
6 0
3 years ago
GEOMETRY!
ELEN [110]
(q, p) is transformed from (p, q) by a reflection over y = x
7 0
3 years ago
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