MATHEMATICS MIDDLE SCHOOL

Solve the equation sin^2 x=3 cos ^2 x

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

Answer:

x

=

π

3

,

2

π

3

,

4

π

3

,

5

π

3

Explanation:

(

sin

x

)

2

=

3

(

cos

x

)

2

(

sin

x

)

2

=

3

(

1

−

(

sin

x

)

2

)

(

sin

x

)

2

=

3

−

3

(

sin

x

)

2

4

(

sin

x

)

2

=

3

(

sin

x

)

2

=

3

4

sin

x

=

±

(

√

3

2

)

x

=

π

3

,

π

−

π

3

,

π

+

π

3

,

(

2

π

)

−

π

3

x

=

π

3

,

2

π

3

,

4

π

3

,

5

π

3

If this was in the region

0

≤

x

≤

2

π
Answer 2
Answer:

\bf \textit{Pythagorean Identities} \n\n sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \n\n[-0.35em] \rule{34em}{0.25pt}\n\n sin^2(x)=3cos^2(x)\implies sin^2(x)=3[1-sin^2(x)] \implies sin^2(x)=3-3sin^2(x) \n\n\n sin^2(x)+3sin^2(x)=3\implies 4sin^2(x)=3\implies sin^2(x)=\cfrac{3}{4}

\bf sin(x)=\pm\sqrt{\cfrac{3}{4}}\implies sin(x)=\pm\cfrac{√(3)}{√(4)}\implies sin(x)=\pm\cfrac{√(3)}{2} \n\n\n sin^(-1)[sin(x)]=sin^(-1)\left( \pm\cfrac{√(3)}{2} \right)\implies x= \begin{cases} (\pi )/(3)\n\n (2\pi )/(3)\n\n (4\pi )/(3)\n\n (5\pi )/(3) \end{cases}

that is, on the interval [0, 2π].

Related Questions

if your cell phone bill was $67.82 and there's a 7.5% late fee how much will you pay for your phone bill
Solve −2x − 15 = 6x + 9. (1 point)
A central angle of a sector equals 5 radians and the radius equals 20 inches. What is the measure of the arc length formed by the sector?
How you write 240,005 in word form
Leticia height on the trail that was 9.66 miles along last Saturday it took her 4.2 hours to complete the trail what was the dishes average speed per hour

Find the mean, median, and mode of each data set.
1. touchdowns scored: 1, 3, 4, 4, 3

Answers

Answer:

mode= 3 and 4 they both the most common

median= 3

1,3,3,4,4

mean= 1+3+3+4+4=15

15÷5=3

Step-by-step explanation:

mode- To find the mode, order the numbers lowest to highest and see which number appears the most often.

mean-To find the mean, add all the numbers together then divide by the number of numbers.

median-To find the median, order the numbers and see which one is in the middle of the list.

i hope this has helped you!

-grace

What is greater 20.10 or 20.1

Answers

Both of those are of equal value... The number 0 for the first one is just a place holder
the greater one is 20.10

The front of an A-frame house is in the shape of a triangle.The height of the house is 20 feet.The area of the front of a A-frame is 600 square feet. Write and solve an equation to find the base of the A-frame house.

Answers

600 divided by 20=30
30x2=60 which is the answer

equation= 600=2x area divied by height 

Solve this Equation 10x+2=32

Answers

x=3 ,is the answer.

The equation given: 10x+2 = 32

10x+2=32

10x=30

x=30/10

x=3

What is the best definition of an equation?

The equation is defined as the state of an equation, often expressed as an equation with equal values ​​on both sides, or refers to a problem that needs to be considered a lot. An example equation is 2 + 2 = 3 + 1

. Linear equations have only one or two variables. Variables in linear equations are powers of 1 and are not used as the denominator of fractions. If you find a pair of values ​​that make the linear equation true and plot those pairs on the coordinate grid, all the points are on the same line.

Learn more about equations here:brainly.com/question/13763238

#SPJ2
10x+2=32
10x=30
1=3
3=x

David uses 2/3 yard of cloth to make a bag .which amounts are equivalent to 2/3 yard

Answers

im really not sure sorry

Which of the following is equivalent to the expression 8x+30/10? A. 8x+3
B4/5x+3
C.8x+20
D.4/5x+30

Answers

The required simplified equivalent expression is given as 8x + 3.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
=  8x+30/10

Simplify the above expression, as 30/10 = 3
= 8x + 3

Thus, the required simplified equivalent expression is given as 8x + 3.

Learn more about simplification here:

brainly.com/question/12501526

#SPJ2
8x+30/10
Simplify the Problem
8x+3
Other Questions
Can someone help me?
What is the value of x if line a is parallel to line b and is cut by a transversal? x = 35x= 19x can not be determined from the information givenx = 27.25
What is the equation for this: the sum of twice a number and half the number is 10?
Malik buys and sells car parts. He bought two tires for $45.00 each and later sold them for $65.00 each. He bought three rims for $85.00 each and later sold them for $126.00 each. He bought five headlight covers for $5.00 each and later sold them for $15.00 each. What is Malik's total profit?