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guapka [62]
3 years ago
9

If cos(x)=1/4 what is sin(x) and tan(x)

Mathematics
1 answer:
anygoal [31]3 years ago
3 0
You can use the identity
  cos(x)² +sin(x)² = 1
to find sin(x) from cos(x) or vice versa.

  (1/4)² +sin(x)² = 1
  sin(x)² = 1 - 1/16
  sin(x) = ±(√15)/4


Then the tangent can be computed as the ratio of sine to cosine.
  tan(x) = sin(x)/cos(x) = (±(√15)/4)/(1/4)
  tan(x) = ±√15


There are two possible answers.
In the first quadrant:
  sin(x) = (√15)/4
  tan(x) = √15

In the fourth quadrant:
  sin(x) = -(√15)/4
  tan(x) = -√15
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sum of half a number and 4 means
(x/2)+4
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Answer: 1852.5 cubic inches


Step-by-step explanation:

The Volume of cuboidal box is given by:-

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Given: The length of box =9\frac{1}{2}\ inches=\frac{19}{2}\ inches

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2 years ago
What is the distance between coordinates (-6.25,5) and (-3.75,2)
Oksi-84 [34.3K]

Answer:

\sqrt{15.25}

Step-by-step explanation:

To find the distance, we can use the distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} when the given points are (x_1,y_1) and (x_2,y_2)

Plug in the points (-6.25,5) and (-3.75,2)

d=\sqrt{(-6.25-x_1)^2+(5-y_1)^2}\\d=\sqrt{(-6.25-(-3.75))^2+(5-2)^2}\\d=\sqrt{(-6.25+3.75)^2+(5-2)^2}\\d=\sqrt{(-2.5)^2+(3)^2}\\d=\sqrt{6.25+9}\\d=\sqrt{15.25}

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I hope this helps!

6 0
2 years ago
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