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:
x=-2
y= 8
Step-by-step explanation:
Given data
10x – 2y = -36-----------1
7x – 2y = -30--------------2
-Subtract to eliminate y
3x-0= -6
3x= -6
x= -6/3
x= -2
Put x= -2 in
7(-2)– 2y = -30
-14-2y=-30
-14+30=2y
16=2y
y= 16/2
y= 8
Answer:
(x + 1)² + (y - 1)² = 1.5625
Step-by-step explanation:
From the picture we see:
The radius is 5 units. Each unit is .25 so the radius is 1.25.
The centre or middle M= ( -1, 1 )
Circle with centre M and radius r :
(x - xM)² + (y - yM)² = r²
xM = -1
yM = 1
r = 1.25
(x - (-1))² + (y - 1)² = (1.25)²
(x + 1)² + (y - 1)² = 1.5625
so i am sure you know that 1 hour is sixty minutes
so this is how it woulds
10/1 * 60/1 = 600 minutes
so that means that 10 hours would be equal to 600 minutes
then add on the 39 minutes
639
BUT WAIT there are the seconds
24/1 * 1/60 = 0.4
so 24 seconds is 0.4 (40%) of a minute
so it would take 639.4 minutes for saturn to make a full rotation
i hope this helped and please vote me for brainliest! have a nice day!
Answer:
See below.
Step-by-step explanation:
The Slope of PQ is (v - z) / (w - x).
The slope of P'Q' =
(v + b) - (z + b)
--------------------- = (v - z) / (w - x)
(w + a - (x + a)
Both lines have a slope that is (v - z)/ (w - x).
So both lines are parallel.
