Answer:
see explanation
Step-by-step explanation:
(4)
consider the left side
factor the numerator
cosx - cos³x = cosx(1 - cos²x)
![\frac{cosx(1-cos^2x)}{sinx}[/tex = [tex]\frac{cosxsin^2x}{sinx}](https://tex.z-dn.net/?f=%5Cfrac%7Bcosx%281-cos%5E2x%29%7D%7Bsinx%7D%5B%2Ftex%20%3D%20%5Btex%5D%5Cfrac%7Bcosxsin%5E2x%7D%7Bsinx%7D)
cancel sinx on numerator/denominator
= cosxsinx =right side ⇒ verified
(5)
Consider the left side
expand the factors
(1 + cotΘ)² + (1 - cotΘ)²
= 1 + 2cotΘ + cot²Θ + 1 - 2cotΘ + cot²Θ
= 2 + 2cot²Θ
= 2(1 + cot²Θ) ← 1 + cot²Θ = cosec²Θ
= 2cosec²Θ = right side ⇒ verified
(6)
Consider the left side
the denominator simplifies to
cosxtanx = cosx × 
= sinx
= sinx( 
+ 
)
= + 
= tanx + 1 = right side ⇒ verified
Answer:
see attached
Step-by-step explanation:
y-2=-2(x+4)
y -2 = x(-2) + 4(-2)
y -2 = -2x - 8
y = -2x - 8 + 2
y = -2x - 6
When x = 0, y = -6. Hence (0,-6) is a point on the line
when y = 0, x = -3. Hence (-3,0) is a point on the line.
Plot these 2 points and connect with a line (see attached)
Answer:
it would 13
Step-by-step explanation:
19-6=13 there you go
Answer:
I think it is C if you have a base nuber of 7 that is at least halfway acros it it can not be over 100
Step-by-step explanation:
The answer is the first choice.
P(both even) = (4P1)(3P1) / 9P2
