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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Solve the system of equations.

Orlov [11]

Answer:

x=-1, y = 2, z = 1

Step-by-step explanation:

We are given with three equations and we are asked to find the solution to them.

2x + 2y + 3z = 5 ------------- (A)

6x + 3y + 6z = 6 --------------(B)

3x + 4y + 4z = 9 ---------------(C)

Step 1 .

multiplying equation (A) by 3 and subtracting B from the result

6x + 6y + 9z = 15

6x + 3y + 6z = 6

- - - = -

_______________

3y+3z=9

y+z=3

y=3-z ----------------- (C)

Step 2.

Substituting this value of y in equation B and C

6x + 3(3-z) + 6z = 6

6x+9-3z+6z=6

6x+3z=-3

2x+z=-1 ----------------(D)

3x + 4(3-z) + 4z = 9

3x+12-4z+4z=9

3x=-3

x=-1 ------------ (E)

Putting this value f x in (D)

2(-1)+z=-1

-2+z=-1

z=1

Now we put this value of z in equation (C)

y=3-z

y=3-1

y=2

Hence we have

x=-1, y=2 and z=1

6 0

3 years ago

Which equation represents a tangent function with a domain of all Real numbers such that x is not equal to pi over 2 plus pi tim

Rudik [331]

The equation that represents a tangent function with a domain of all real numbers such that $x \ne \frac{\pi}2 + n \pi$ is $g(x) = \tan(n \pi - \frac{\pi}2)$