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leonid [27]
3 years ago
13

How do you get x trigonometry

Mathematics
1 answer:
Svetlanka [38]3 years ago
7 0
Quick vocab:
sin=sine
cos=cosine
tan=tangent
theta=the angle
o=opposite side from angle
h=hypotenuse of triangle
a=adjacent side to angle

Three equations:
sin(theta)= o / h
cos(theta)= a / h
tan(theta)= o / a

Explanation of problem:

sin(x)= o / h
sin(x)= 16cm / 28cm
You'll substitute the 16cm in for o and 28cm for h
This is because 16cm is on the side that's opposite from the angle
28cm is on the hypotenuse of the triangle
One way to find the hypotenuse is look where the 90° is at and it's opposite from that

since you're trying to find the angle you'll have to inverse the sin to get it on the other side of the equal sign
Inverse is doing the opposite of so the inverse of sin is sin^-1

{ \sin}^{ - 1} (\frac{16cm}{28cm})
x = sin^-1 (16cm/28cm)

Answer:

x = 34.84990458°

I don't know how far rounded you'll need it
I hope this helped!
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The slope of a line is the ratio of the change of y to the change of X. Name the trigonometric ratio of theta that equals the sl
Elanso [62]

Answer:

The trigonometric ratio of theta is tangent ⇒ answer (c)

Step-by-step explanation:

* Lets revise the trigonometry functions

- sinФ = the side opposite to angle Ф ÷ the hypotenuse

- cosФ = the side adjacent to angle Ф ÷ the hypotenuse

- tanФ = the side opposite to angle Ф ÷ the side adjacent to angle Ф

* Now read the definition of the slope and look to the figure

- The slope of a line is the ratio of the change of y to the change of x

∵ The change of y is opposite to angle Ф

∵ The change of x is adjacent to angle Ф

∴ The slope = the side opposite to Ф ÷ the side adjacent to Ф

* The slope of the line = tanФ

∴ The trigonometric ratio of theta is tangent

7 0
4 years ago
Read 2 more answers
1. What is the circumference of a circle with a radius of 3? (1 point)
4vir4ik [10]
1. 6 \pi
This is because 
c=  \pi d \\ 
c= 6 \pi

2. 9 \pi
because 
A= \pi  r^{2}  \\ 
A =  \pi (3)^{2}  \\ 
A = 9 \pi

3. 4 \pi
C=  \pi d \\ 
C= 4 \pi

4. 4 \pi
A = \pi r^{2} \\ A = \pi (2)^{2} \\ A = 4 \pi

Can't really answer the last 2 w/o the figures

7 0
4 years ago
34. For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible.
skad [1K]

Answer:

The linear equation for the line which passes through the points given as (-1,4) and (5,2), is written in the point-slope form as $y=\frac{1}{3} x-\frac{13}{3}$.

Step-by-step explanation:

A condition is given that a line passes through the points whose coordinates are (-1,4) and (5,2).

It is asked to find the linear equation which satisfies the given condition.

Step 1 of 3

Determine the slope of the line.

The points through which the line passes are given as (-1,4) and (5,2). Next, the formula for the slope is given as,

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute 2&4 for $y_{2}$ and $y_{1}$ respectively, and $5 \&-1$ for $x_{2}$ and $x_{1}$ respectively in the above formula. Then simplify to get the slope as follows,

m=\frac{2-4}{5-(-1)}$\\ $m=\frac{-2}{6}$\\ $m=-\frac{1}{3}$

Step 2 of 3

Write the linear equation in point-slope form.

A linear equation in point slope form is given as,

$y-y_{1}=m\left(x-x_{1}\right)$

Substitute $-\frac{1}{3}$ for m,-1 for $x_{1}$, and 4 for $y_{1}$ in the above equation and simplify using the distributive property as follows,

y-4=-\frac{1}{3}(x-(-1))$\\ $y-4=-\frac{1}{3}(x+1)$\\ $y-4=-\frac{1}{3} x-\frac{1}{3}$

Step 3 of 3

Simplify the equation further.

Add 4 on each side of the equation $y-4=\frac{1}{3} x-\frac{1}{3}$, and simplify as follows,

y-4+4=\frac{1}{3} x-\frac{1}{3}+4$\\ $y=\frac{1}{3} x-\frac{1+12}{3}$\\ $y=\frac{1}{3} x-\frac{13}{3}$

This is the required linear equation.

5 0
2 years ago
Izzie recently took a math test where each correct answer (a) on the main part of the test was worth 8.3 points. She also correc
Temka [501]

Answer:

12 correct answers

Step-by-step explanation:

Since in the main part she scores 8.3 points for each question she answers correctly, we can assume that the number of questions she answers correctly=a

Therefor, the total number of points she achieved in the math test in the main part alone can be expressed as:

Total score(main part)=8.3×a=8.3a points

She also solved a bonus question worth=11 points

Consider expression 1 below

The total score in the whole test=Total score in the main part+Bonus points, where;

Total score in the whole test=110.6 points

Total score in the main part=8.3a points

Bonus points=11 points

Substituting the values in expression 1:

8.3a+11=110.6

8.3a=110.6-11

8.3a/8.3=99.6/8.3

a=12

Number of correct answers in the main part=a=12

4 0
4 years ago
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 4.5). What is the x-coordinate of the y-intercept? –4
ANTONII [103]

Answer:

sorry for such a late answer but the correct option is the second table

Step-by-step explanation:

none needed

6 0
4 years ago
Read 2 more answers
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