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3 years ago

7

Sinx + cosx= 1 then find the value of x

1 answer:

Kobotan [32]3 years ago

4 0

$1√2sinx+1√2cosx=1√2.

This can be written as

cos(x−π4)=cos(π4)

The general solution of this equation ls

x−.π4=2nπ±π4,n=0,±1,±2,...,

So, x=2nπandx=(4n+1)π2,n=0,±1,±2,±3....

 ANSWER: x=2nπandx=(4n+1)π2,n=0,±1,±2,±3....$

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). A construction

charle [14.2K]

Answer:

$y=\frac{11}{20}x+6$

Step-by-step explanation:

Given:

Two points are given

x = number of minutes

y = length of the lin

$(x_{1},y_{1} )$ ⇒ (0, 6)

$(x_{2},y_{2} )$ ⇒ (20, 17)

We need to find the equation that represents the relationship between x, y.

Solution:

Using slope formula to find the slope of the equation of the line.

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

Substitute $(x_{1},y_{1} )$ = (0, 6) and $(x_{2},y_{2} )$ = (20, 17) in above equation.

$m=\frac{17-6}{20-0}\\m=\frac{11}{20}$

So, slope of the line $m = \frac{11}{20}$

Using point slope formula.

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

Where, m = slope of the line

Substitute $(x_{1},y_{1} )$ ⇒ (0, 6) and $m = \frac{11}{20}$ in equation 1.

$(y-6)=\frac{11}{20} (x-0)$

$y-6=\frac{11}{20}x$

Add 6 both side of the equation.

$y-6+6=\frac{11}{20}x+6$

$y=\frac{11}{20}x+6$

Therefore, the equation that represents the relationship between x and y is written as:

$y=\frac{11}{20}x+6$

6 0

4 years ago

19. Find the value of:<br>4/3tan^2 30° + Sin^2 60° – 3Cos^2 30°+ 3tan^2. 60° - 2tan^2 45°

Julli [10]

9514 1404 393

Answer:

107/18

Step-by-step explanation:

Your calculator and/or knowledge of trig function values can help you evaluate this.

= 4/3(1/3) +3/4 -3(3/4) +3(3) -2(1)

= 4/9 +3/4 -9/4 +9 -2

= 107/18

___

tan(30°) = 1/√3

tan(45°) = 1

tan(60°) = √3

sin(60°) = cos(30°) = √3/2

7 0

3 years ago

Which is the best approximate solution of the system of linear equations y = 1.5x – 1 and y = 1?

vazorg [7]

I think the answer is B.(1.33,1)
but i'm not sure..

3 0

3 years ago

Read 2 more answers

PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

garik1379 [7]

Your Slope is 2/3

Find one point then find the other, and do how many times you rose to get to the other point, over how many times you ran.

5 0

3 years ago

Read 2 more answers

Y=-3(x – 4)(x – 4) in standard form

dexar [7]

Answer:

It’s already in standard form

Step-by-step explanation:

3 0

3 years ago