Answer:
2sin2(x). cos( x)
Step-by-step explanation:
As per the trigonometric identities sin3(x)= 3sin(x) - 4sin^3 (x)
putting this in the given expression
sin3x +sinx = 3sin(x) - 4sin^3 (x)+ sinx
= 4sinx - 4sin^3 (x)
= 4sinx(1 - sin^2 (x))
As per the trigonometric identities cos^2(x) = 1-sin^2 (x)
putting this in the above expression
= 4sinxcos^2 (x)
= 2cos(x) (2sin(x)cos(x))
As per the trigonometric identities 2sinx.cosx = sin2(x)
putting this in the above expression
= 2cosx sin2(x)
=2sin2(x). cos( x)
!
Answer:
Step-by-step explanation:
Answer:
- A. segment A double prime B double prime = segment AB over 2
Step-by-step explanation:
<u>Triangle ABC with coordinates of:</u>
- A = (-3, 3), B = (1, -3), C = (-3, -3)
<u>Translation (x + 2, y + 0), coordinates will be:</u>
- A' = (-1, 3), B = ( 3, -3), C = (-1, -3)
<u>Dilation by a scale factor of 1/2 from the origin, coordinates will be:</u>
- A'' = (-0.5, 1.5), B'' = (1.5, -1.5), C= (-0.5, -1.5)
<u>Let's find the length of AB and A''B'' using distance formula</u>
- d = √(x2-x1)² + (y2 - y1)²
- AB = √(1-(-3))² + (-3 -3)² = √4²+6² = √16+36 = √52 = 2√13
- A''B'' = √(1.5 - (-0.5)) + (-1.5 - 1.5)² = √2²+3² = √13
<u>We see that </u>
<u>Now the answer options:</u>
A. segment A double prime B double prime = segment AB over 2
B. segment AB = segment A double prime B double prime over 2
- Incorrect. Should be AB = A''B''*2
C. segment AB over segment A double prime B double prime = one half
- Incorrect. Should be AB/A''B'' = 2
D. segment A double prime B double prime over segment AB = 2
- Incorrect. Should be A''B''/AB = 1/2
Answer:
Mutually exclusive
Step-by-step explanation:
There can't be anything common to males and females
Answer:
No, the answer would be -0.4 repeating
Step-by-step explanation:
Because 4/-9 is a fraction you would divide 4 by -9 which you cant get an even number out of that. The answer is -0.4 repeating.