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2 years ago

Given sin0= 3/7, and tan0 <0, what is the value of coso?

Mathematics

1 answer:

spin [16.1K]2 years ago

8 0

sin θ = 3 / 7 = .429

sin^2 θ + cos^2 θ = 1 trig identity

9/49 + cos^2 θ = 1

cos^2 θ = 40 / 49 = .816 cos θ = .903

Check .429^2 + .903^2 = 1

cos .903 = 25.4 deg

In the second quadrant sin = +, cos = -, tan = -

So 25.4 deg in the second quadrant = 180 - 25.4 = 154.6 deg

Check:

sin 154.6 = .428

cos 154.6 = -.903

tan 154.6 = -.475

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Slav-nsk [51]

Answer:

Step-by-step explanation:

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3 years ago

The circumference of a circle is 22 cm.

valkas [14]

$\bf \: Circumference \: of \: a \: circle = 2\pi \: r$

$\implies22 = 2 \times \dfrac{22}{7} r$

$\implies22 = \dfrac{44}{7} \times r$

$\implies \: r = \dfrac{22 \times 7}{44}$

$\implies \boxed{ r = \dfrac{7}{2} }$

Now,

$\bf \: Area \: of \: circle = \pi {r}^{2}$

$\rightarrow \: \frac{22}{7} \times ({ \frac{7}{2}) }^{2}$

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$\rightarrow \: 22 \times \frac{7}{4}$

$\rightarrow \: 11 \times \frac{7}{2}$

$\rightarrow \frac{77}{2}$

$\rightarrow \: 38.5 \: cm {}^{2}$

Area of rectangle = 38.5 cm².

7 0

3 years ago

Given that f(x)=(k x)/(2x 1)and that f(-3)=2, find the value of k

makvit [3.9K]

Answer:

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Step-by-step explanation:

3 0

3 years ago

What is the equation of the line that passes through the point (-6, -6) and has a<br> slope of - 1/3

pickupchik [31]

Answer:

The equation of the line is $y = -\frac{1}{3}x - 8$

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

$y = mx + b$

In which m is the slope and b is the y-intercept.

Slope of - 1/3

This means that $m = -\frac{1}{3}$

$y = -\frac{1}{3}x + b$

Through the point (-6, -6)

This means that when $x = -6, y = -6$ . So

$y = -\frac{1}{3}x + b$

$-6 = -\frac{1}{3}(-6) + b$

$b + 2 = -6$

$b = -8$

The equation of the line is $y = -\frac{1}{3}x - 8$

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3 years ago

Solve each multi-step equation. Show your work. A-2+3= -2

Aleksandr [31]

Answer:

-3-2+3=-2

Step-by-step explanation:

A-2+3=-2

-3 -3

A-2=-5

+2 +2

A=-3

So, A-2+3=-2 is now -3-2+3=-2

8 0

3 years ago