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tangare [24]
3 years ago
7

Simplify - tanx-(sec^2 / tanx)

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

Answer:

-cot(x)

Step-by-step explanation:

tanx-(sec^2x  / tanx)

Lets get a common denominator of tan

tan x * tan x/ tan  -sec ^2 x/ tan x

tan ^2 x - sec ^2 x

---------------------------

tan x

We know than sec^2 - tan^2 =1  (trig identity)  so factor out -1

-1(-tan ^2 x + sec ^2 x)

---------------------------

tan x

-1(1)

---------------------------

tan x

-1

----------

tan (x)

We know  1/ tan x = cot (x)

- cot(x)

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Answer:

Concept: Area

  1. area = \pi {r}^{2}
  2. We are given area hence 78.5 square meters
  3. We want the radius so we isolate
  4. 78.5 = \pi {r}^{2}
  5. Isolate for r to get r= 4.99 or 5 square units approximately
4 0
3 years ago
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Find the slope of the line through each pair of points
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The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

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(-13,\ -10)\to x_1=-13,\ y_1=-10\\(16,\ 16)\to x_2=16,\ y_2=16

substitute:

m=\dfrac{16-(-10)}{16-(-13)}=\dfrac{16+10}{16+13}=\dfrac{26}{29}

96)

(6,\ -16)\to x_1=6,\ y_1=-16\\(-15,\ 9)\to x_2=-15,\ y_2=9

substitute:

m=\dfrac{9-(-16)}{-15-6}=\dfrac{25}{-21}=-\dfrac{25}{21}

97)

(12,\ -11)\to x_1=12,\ y_1=-11\\(14,\ -12)\to x_2=14,\ y_2=-12

substitute:

m=\dfrac{-12-(-11)}{14-12}=\dfrac{-12+11}{2}=-\dfrac{1}{2}

OK. I think you already know how to solve it. I will give short solutions now.

98)

m=\dfrac{15-(-3)}{8-(-14)}=\dfrac{18}{22}=\dfrac{9}{11}

99)

m=\dfrac{3-(-5)}{-7-3}=\dfrac{8}{-10}=-\dfrac{4}{5}

100)

m=\dfrac{-8-8}{-11-0}=\dfrac{-16}{-11}=\dfrac{16}{11}

101)

m=\dfrac{13-(-5)}{-13-(-13)}=\dfrac{18}{0}!!!-\boxed{NOT\ EXIST}

102)

m=\dfrac{18-1}{-10-2}=\dfrac{17}{-12}=-\dfrac{17}{12}

103)

m=\dfrac{19-14}{7-(-17)}=\dfrac{5}{24}

104)

m=\dfrac{12-0}{-6-4}=\dfrac{12}{-10}=-\dfrac{6}{5}

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3 years ago
If the diameter of a circle is 3, the circumference of the circle is
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Answer:

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Step-by-step explanation:

The diameter is 3

The circumference is given by

C = pi *d

C =3 pi

We can approximate pi by 3.14

C = 3*3.14

C =9.42

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The area of a circle is 100π in². What is the circumference, in inches? Express your answer in terms of
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Step-by-step explanation:

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