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:
You have a 12% chance of pulling out a white marble
Step-by-step explanation:
Their is 25 marbles in the bag and you have 3 out of 25 chance of pulling out a white marble. 3/25=0.12 so you have a 12% chance of pulling out a white marble.
Answer:
recursive: f(0) = 7; f(n) = f(n-1) -8
explicit: f(n) = 7 -8n
Step-by-step explanation:
The sequence is an arithmetic sequence with first term 7 and common difference -8. Since you're numbering the terms starting with n=0, the generic case will be ...
recursive: f(0) = first term; f(n) = f(n-1) + common difference
explicit: f(n) = first term + n·(common difference)
To get the answer above, fill in the first term and common difference values.
B. The answer would be B because inscribed means inside the circle. All the points in the angle touch the side of the circle.
Hope I could help!!!!!
Good luck!!!!
Answer:
2n+7
Step-by-step explanation:
7 more than twice n would be:
2n+7
this is because twice n would mean that you'd multiply n by 2, and by 7 more than they mean you would add 7 to that.
