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:
8
Step-by-step explanation:
3^2 = 9 - 1 = 8
Answer:
6.4 inches
Step-by-step explanation:
We are going to have to use ratio's here. We know that 1 inch = 2.5 feet and we know that Terrance is making a scale model of a car that is 16 feet long. We need to work out the length of the car in inches so,
1 inches = 2.5 feet
? inches = 16 feet
→ We are going to divide 16 by 2.5 and then multiply that answer by 1 to get our result so
16 ÷ 2.5 = 6.4
6.4 × 1 = 6.4
The final answer is 6.4 inches
Answer:
No.
Step-by-step explanation:
The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation.
