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Verizon [17]
3 years ago
10

If the cotangent and tangent are reciprocals of each other, then what is the cotangent of an angle if the tangent of the same an

gle is a/b where a and b are not zero?
Mathematics
1 answer:
Ad libitum [116K]3 years ago
6 0

Answer:

The cotangent of the angle will be b/a

Step-by-step explanation:

Since the cotangent and tangent are reciprocals of each other and the tangent of the same angle is a/b where a and b are not zero,

then the cotangent will be the reciprocal of the value of the tangent

= 1 / (a/b)

= 1 x (b/a)

= b/a

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Solve 2cos(x)-4sin(x)=3 [0,360]
Korvikt [17]
2cos(x) - 4sin(x) = 3

use identity  [cos(x)]^2 +[ sin(x)]^2 = 1 => cos(x) = √[1 - (sin(x))^2]

2√[1 - (sin(x))^2] - 4 sin(x) = 3

2√[1 - (sin(x))^2] = 3 + 4 sin(x)

square both sides

4[1 - (sin(x))^2] = 9 + 24 sin(x) + 16 (sin(x))^2

expand, reagrup and add like terms

4 - 4[sin(x)]^2 = 9 + 24sin(x) + 16sin^2(x)

20[sin(x)]^2 + 24sin(x) +5 = 0

use quadratic formula and you get sin(x) = -0.93166 and sin(x) = -0.26834

Now use the inverse functions to find x:

arcsin(-0.93166) = 76.33 degrees

arcsin(-0.26834) = 17.30 degrees






3 0
3 years ago
Please solve with explanation 30 points
kumpel [21]

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5 0
2 years ago
Multiply using the rule for the square of a binomial.
GalinKa [24]
To solve:
(x-10)(x-10)

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5 0
3 years ago
Which of the following are solutions to the inequality -7x+14>-3x-6? Select all that apply.
JulijaS [17]

-7x+14>-3x-6

add 7x to each side

14> 4x-6

add 6 to each side

20>4x

divide by 4

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6 0
3 years ago
Read 2 more answers
Can someone help please and explain how you got your answer and please don't play around I really don't wanna fail. Ill give bra
Maksim231197 [3]

Answer:

5

Step-by-step explanation:

Hello There!

The mean is pretty much the average

So to find the mean we first add up all of the values

2+3+6+6+7+8+8=40

Then we count the amount of points

There are 8 points

our final step is to divide the total value by the total number of points

40/8=5

so the mean (average) would be 5

6 0
3 years ago
Read 2 more answers
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