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2 years ago

What is the Y intercept of the fraction describing in the table?

Mathematics

1 answer:

Natasha2012 [34]2 years ago

6 0

Answer:

Its 0

Step-by-step explanation:

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Use the given information to find the exact value of the trigonometric function

eimsori [14]

$\begin{gathered} \csc \theta=-\frac{6}{5} \\ \tan \theta>0 \\ \cos \frac{\theta}{2}=\text{?} \end{gathered}$

Half Angle Formula

$\cos \frac{\theta}{2}=\pm\sqrt[\square]{\frac{1+\cos\theta}{2}}$ $\tan \theta>0\text{ and csc}\theta\text{ is negative in the third quadrant}$ $\begin{gathered} \csc \theta=-\frac{6}{5}=\frac{r}{y} \\ x^2+y^2=r^2 \\ x=\pm\sqrt[\square]{r^2-y^2} \\ x=\pm\sqrt[\square]{6^2-(-5)^2} \\ x=\pm\sqrt[\square]{36-25} \\ x=\pm\sqrt[\square]{11} \\ \text{x is negative since the angle is on the 3rd quadrant} \end{gathered}$ $\begin{gathered} \cos \theta=\frac{x}{r}=\frac{-\sqrt[\square]{11}}{6} \\ \cos \frac{\theta}{2}=\pm\sqrt[\square]{\frac{1+\cos\theta}{2}} \\ \cos \frac{\theta}{2}is\text{ also negative in the 3rd quadrant} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{1+\frac{-\sqrt[\square]{11}}{6}}{2}} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{\frac{6-\sqrt[\square]{11}}{6}}{2}} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}} \\ \\ \end{gathered}$

Answer:

$\cos \frac{\theta}{2}=-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}}$

Checking:

$\begin{gathered} \frac{\theta}{2}=\cos ^{-1}(-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}}) \\ \frac{\theta}{2}=118.22^{\circ} \\ \theta=236.44^{\circ}\text{ (3rd quadrant)} \end{gathered}$

Also,

$\csc \theta=\frac{1}{\sin\theta}=\frac{1}{\sin (236.44)}=-\frac{6}{5}\text{ QED}$

The answer is none of the choices

7 0

1 year ago

Are of shape shown below

Margaret [11]

Step-by-step explanation:

2x2 is 4 4x4 is 16 16x1 is 16

3 0

2 years ago

What are all the numbers that round to 5.6? A. 5.57 B. 5.54 C .5.62 D. 5.59 E. 5.51

Delvig [45]

Answer: A, C, and D all round to 5.6

5 0

2 years ago

Find the value of x

anygoal [31]

Answer:

Step-by-step explanation:

As per circle theorem rule, ∠GDE is twice than ∠GFE

10x +94 = 2 × (x+51)

10x + 94 = 2x + 102

8x = 8

x = 1

∠GDE= 10x+94° = 104°

∠GFE= x + 51° = 52°

3 0

3 years ago

HELP ME QUICK PLEASEE!!

Lena [83]

Answer:

A) is a function

B) f(x) is greater

C) x = 12

Step-by-step explanation:

A) Yes, the relation is a function.

A function has a unique input value for each output value. There are no repeated x-values, so this relation is a function.

B) The table says y=6 for x=6.

f(6) = 2(6)+16 = 28

f(x) has a greater value for x=6.

C) Substituting the given information, we have ...

40 = 2x +16

24 = 2x

12 = x

The value of x is 12 when f(x) is 40.

3 0

3 years ago