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viktelen [127]
3 years ago
9

If sin a = - 4/5and cos a > 0, find tan a and sec a.​

Mathematics
1 answer:
Nina [5.8K]3 years ago
7 0

Answer:

tan(a) = -4/3

sec(a) = 5/3

Step-by-step explanation:

sine is opposite over hypotenuse.  so no we have a triangle with a hypotenuse of 5 and an opposite side relative to some angle a of -4.  the hypotenuse is never negative.  

so draw a right triangle, mark one of the non right angles as a then the side opposite to that is -4 and the hypotenuse is 5.  use the pythagorean theorem to find the remaining angle.  The result could be positive or negative, but the questions specifically tells us we want the positive version.

b^2 + -4^2 = 5^2

b = 3

tangent is opposite over adjacent.  for a we know the opposite is 3now so tan(a) = -4/3

Now, secant is 1/cos, so lets find cos(a)

cos is adjacent over hypotenuse, and we jsut found the adjacent is 3.  so cos(a) = 3/5

Now 1/cos(a) = hypotenuse over adjacent so 5/3

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Answer:

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7 0
2 years ago
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Find the equation of the line that passes through both (5,1) and (8,-2)
Georgia [21]

Let f(x) = ax+b be the line that passes through both points.

We know that f(5) = 1 and f(8) = -2. So:

\begin{cases}5a+b = 1 \\ 8a+b = -2\end{cases}

Solving the system, we get that a= -1 and b = 6.

So the line is equal to f(x) = 6-x.

5 0
3 years ago
Find the area of the rhombus 6cm, 8cm
Igoryamba

Answer:

A=24cm²

Step-by-step explanation:

Area=1/2(product of the diagonals)

A=1/2(6×8)

A=1/2(48)

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5 0
3 years ago
Find the area of a rectangle with a length of 7 centimeters and a width of 24 centimeters.
nadezda [96]

Answer:

168 cm^2

Step-by-step explanation:

Given,

Length ( l ) = 7 cm

Width / breadth ( b ) = 24 cm

To find : -

Area of rectangle = ?

Formula : -

Area of rectangle = l x b

Area of rectangle

= 7 x 24

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4 0
3 years ago
Then, the bug ran from −12 to −100. What distance did it cover? If this run took the bug 8 minutes, what was its average speed?
sattari [20]

Answer:

The distance is 88 units

speed = 11 units per minute

Step-by-step explanation:

To find the distance, take the second point and subtract the first point

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Distance is the number (direction is positive or negative)

The distance is 88 units

To find the speed, take the distance and divide by the time

speed = 88 units / 8 minutes

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3 years ago
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