Let cos(−θ)=−3/5 and tanθ>0 .

Mathematics

1 answer:

Gnom [1K]3 years ago

4 0

Answer:

Step-by-step explanation:

The cosine of a right triangle is the adjacent over the hypotenuse. If the cosine is -3/5 then it must be a right triangle with sides 3, 4, & 5 since this is a Pythagorean triple. This means the sin will be -4/5. We know its negative because the tangent is positive so this is the 3rd quadrant where both Sine and Cosine are negative.

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5 0

2 years ago

Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. (If the vector field is

Elis [28]

In order for F to be conservative, there must be a scalar function f such that the gradient of f is equal to F. This means

$\dfrac{\partial f}{\partial x}=3x^2-2y^2$

$\dfrac{\partial f}{\partial y}=4xy+4$

Integrate both sides of the first equation with respect to x :

$f(x,y)=x^3-2xy^2+g(y)$

Differentiate both sides with respect to y :

$\dfrac{\partial f}{\partial y}=-4xy+\dfrac{\mathrm dg}{\mathrm dy}=4xy+4\implies\dfrac{\mathrm dg}{\mathrm dy}=8xy+4$

But we assume g is a function of y, which means its derivative can't possibly contain x, so there is no scalar function f whose gradient is F. Therefore F is not conservative.

8 0

3 years ago

Write two equivalent fractions for 10 to 3

saw5 [17]

20/6 because 20 x 3 = 6 x 10 = 60. 309 is equivalent to 10/3 because 30 x 3 = 9 x 10 = 90.
40/12 is equivalent to 10/3 because 40 x 3 = 12 x 10 = 120.

7 0

2 years ago

Marcus completed 187 jumping jacks in 3 days. He completed 60 jumping jacks on each of the first 2 days, and y number of jumping

grandymaker [24]

B..................................................

8 0

3 years ago

Read 2 more answers

X=y x+2y =3 Solve using substitution

Zielflug [23.3K]

Answer:

Therefore the Final Solution is