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Vinvika [58]
3 years ago
8

(secx-tanx)(secx+tanx)=1 simplify

Mathematics
2 answers:
tigry1 [53]3 years ago
5 0

Step-by-step explanation:

(secx-tanx)(secx+tanx)

=sec^2-tan^2

=1

Ymorist [56]2 years ago
5 0

Answer:

Step-by-step explanation:

LHS = (sec x - tan x)(Sec x - tan x)    

      = sec² x - tan²x         {(a +b)(a-b) = a² - b²}

      = \dfrac{1}{Cos^{2} \  x}-\dfrac{Sin^{2} \ x}{Cos^{2} \ x}\\\\\\= \dfrac{1-Sin^{2} \ x}{Cos^{2} \ x}\\\\= \dfrac{Cos^{2} \ x}{Cos^{2} \x}\\\\= 1

Hence proved.

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What is the value of r in this equation? 4(x-3)-r+2x=5(3x-7)-9x
Tomtit [17]

4(x-3)-2+2x=5(3x-7)-9x

4x-12-r+2x=5(3x-7)-9

4x-12-r+2x=15x-35-9x

6x-12-r=15x-35-9x

6x-12-r=6x-35

add 12 to -35 which equals -23.

add 6x+6x it cancels out to 0.

-r=-23

to make r positive just add it -23

since 23 is already negative it would become a positive because a negative + negative= positive

answer: r=23


5 0
3 years ago
.) Find the sum of the first n terms of the geometric sequence for the values of a1and r.
Vinvika [58]
Sn = a(r^n - 1)/(r - 1)
S4 = 228(4.8^4 - 1)/(4.8 - 1) = 228(530.8416 - 1)/3.8 = 228(529.8416)/3.8 = 120,803.8848 / 3.8 = 31,790.496
3 0
3 years ago
What is 8 divided by 9/10
Elodia [21]

Answer:

8 divided by 9/10

= 8.8888... = 8 8/9

7 divided by 5/8

= 11.2 = 11 1/5

8 divided by 1/2

= 16

9 divided by 2/3

= 13.5 = 13 1/2

8 divided by 5/8

= 12.8 = 12 4/5

8 divided by 1/4

= 32

1 divided by 5/10

= 2

8 divided by 1/3​

= 24

Step-by-step explanation:

5 0
2 years ago
What is the slope of the line shown below?<br> (6,6) and (1,-4)
Nady [450]

Answer:

2(C)

Step-by-step explanation:

You can use the slope formula to answer this which is y₁ - y₂ divided by x₁ - x₂. Let's say that (x₁, y₁) is (6,6) and the (x₂, y₂) is (1, -4). We can then substitute these values into the formula.

This would become 6- (-4) divided by 6-1.

This can be further simplified as shown:

=6+4 divided by 5

=10/5

=2

Therefore, 2 is the slope of the line

4 0
3 years ago
Can someone pls help me find the measurement indicated in the parallelogram, also tell me how to do it???
GaryK [48]

Answer:

134

Step-by-step explanation:

since L and K must be supplementary, they add up to 180. If you do the following

134x+45x+1=180

you get 179x+1=180

and solving, we get 179X=179

This means x is 1, and if you multiply 134 by 1, you get 134.

5 0
3 years ago
Read 2 more answers
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