2 years ago

Find cos θ if sin θ = -12/13 and tan θ > 0

Mathematics

1 answer:

Anarel [89]2 years ago

6 0

SinФ=-12/13
cosФ=Base/hypotenus
(hy)^2-(perpendicular)^2=(base)^2=13^2-12^2=5
cosФ=-5/13

You might be interested in

Left parenthesis 5 plus 2 square root of 6 right parenthesis squared = a plus b square root of 6 then the value of a and b are

Ganezh [65]

Answer:

The values of $a$ and $b$ are $33$ and $\frac{20\sqrt{3}}{3}$ , respectively.

Step-by-step explanation:

The statement is equivalent to the following mathematic expression:

$\left(5 + 2\sqrt{2})^{2} = a + b\cdot \sqrt{6}$ (1)

By definition of the perfect square trinomial:

$25 + 20\cdot \sqrt{2} + 8 = a + b\cdot \sqrt{6}$

$33 + 20\sqrt{2} = a + b\cdot \sqrt{6}$

And by direct comparison we have the following system:

$a = 33$ (2)

$b\cdot \sqrt{6} = 20\sqrt{2}$ (3)

By (3), we solve for $b$ :

$b = \frac{20}{\sqrt{3}}$

$b = \frac{20\sqrt{3}}{3}$

The values of $a$ and $b$ are $33$ and $\frac{20\sqrt{3}}{3}$ , respectively.

6 0

2 years ago

Steven wants to equally share his pizza with his three sisters what fraction of the pizza does he in each sister receive

lakkis [162]

1 (Steven) + 3 sisters = 4
They each recieve, 1/4,2/8 or 2 slices of the pizza

6 0

3 years ago

6300/90???? PLS helpppp

dmitriy555 [2]

Answer: 70

Step-by-step explanation: 6300/90=70 Brainliest please?

4 0

2 years ago

8x-2y=-26 ; 2x+5y=-23

inna [77]

Whats the question? There is no question.

4 0

2 years ago

Brandon bought a book that originally sold for $18 on sale for 30% off. He paid a sales tax of 8%.

inysia [295]

Answer:

$13.61

Step-by-step explanation:

$18 * 70% = $12.60

$12.60 * 1.08 = $13.61

6 0

2 years ago