Answer:
Step-by-step explanation:
Reciprocal trig functions are opposite or mirror of the normal trig functions. The normal trig functions are as follows:
Sine = opposite side/hypotenuse
Cosine = adjacent side/hypotenuse
Tangent = opposite side/adjacent side
The reciprocals of the above trig ratios would be
Cosecant = hypotenuse/opposite side
Secant = hypotenuse/adjacent side
Cotangent = adjacent side/opposite side
Therefore, looking at the given options, the trigonometric function that can be described as a reciprocal trig function is
D. sec(0)
You multiply vectors and scalar simply by multiplying each component by that scalar:

Finally, you sum two vectors by summing the correspondent coordinates:

To solve for x in terms of b, simply treat b as a number, and solve for x as usual: first of all, we expand the left hand side:

Subtract 10 from both sides:

Divide both sides by -2b:

This means that in particular, if we set
, we have

Let

be a rectangular

matrix with column vectors

, i.e.

Then we have

and the product of the two is

Because the columns of

are orthonormal, we have

which means

reduces to an

matrix with ones along the diagonal and zero everywhere else, i.e.

where

denotes the identity matrix. This means the solution to

is given by
Answer:
The solution is (0, 4)
Step-by-step explanation:
Please pay attention to the first two equations and drop the last two:
12x−5y=−20 y=x+4 x=x=x, equals y=y=y should ideally be:
12x−5y=−20
y=x+4
Let's find x. Substitute x + 4 for y in the first equation, obtaining:
12x - 5(x + 4) = -20
Carrying out the indicated multiplication, we get:
12x - 5x - 20 = -20, or 7x = 0
If x = 0 then y must be 0 + 4, or 4.
The solution is (0, 4)