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:
what.....
Step-by-step explanation:
Answer: $40000
Step-by-step explanation:
200000(0.2) = $40000
Factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56
<span>Factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, </span>28, 42, 84
The outside term multiplies by the outside term on the oposite side to equal the answer.
Example:
Look at the factors of 84
84X1=84
2X42=84
3X28=84
and so on!
Answer: 3/4 x 48
3 x 12
= 36
Got 12 by reducing the numbers with the Greatest Common Factor (GCF) 4