Answer:
b)(b²-a²)
Step-by-step explanation:
a cotθ + b cosecθ =p
b cotθ + a cosecθ =q
Now,
p²- q²
=(a cotθ + b cosecθ)² - (b cotθ + a cosecθ)² [a²-b²=(a+b)(a-b)]
=(acotθ+bcosecθ + bcotθ+ acosecθ) (a cotθ + bcosecθ -bcotθ-acosecθ)
={a(cotθ+cosecθ)+b(cotθ+cosecθ)} {a (cotθ-cosecθ)+b (cosecθ-cotθ)}
={a(cotθ+cosecθ)+b(cotθ+cosecθ)} [a (cotθ-cosecθ) + {- b (cotθ-cosecθ)} ]
={a(cotθ+cosecθ)+b(cotθ+cosecθ)} {a (cotθ-cosecθ) - b (cotθ-cosecθ)}
={(cotθ+cosecθ)(a+b)} {(cotθ-cosecθ) (a-b)}
=(cotθ+cosecθ) (a+b) (cotθ-cosecθ) (a-b)
=(cotθ+cosecθ) (cotθ-cosecθ) (a+b) (a-b)
= (cot²θ-cosec²θ) (a²-b²) [(a+b) (a-b)= (a²-b²)]
= -1 . (a²-b²) [ 1+cot²θ=cosec²θ ; ∴cot²θ-cosec²θ=-1]
=(b²-a²)
Answer:
An isosceles triangle is a triangle in which the two sides of the polygon are equal as well as the angles opposite to these sides are also corresponding
Answer:
Step-by-step explanation:
The lab technician is dividing a cell that has a diameter of
The new cells has a diameter that is half of the diameter of the original cell.
The diameter of the new cell is given as:
Rewrite the numerator in standard notation:
We rewrite in scientific notation to obtain:
Answer:
0.99
Step-by-step explanation:
Answer:
D. 17.4%
Step-by-step explanation:
To find a percent, divide the part by the whole and multiply by 100.
The part is the sum of Tim's Chevron and Car:
$23 + $272 = $295 = part
The total is $1695 = whole
percent = part/whole * 100%
percent = 295/1695 * 100%
percent = 0.174041 * 100%
percent = 17.4%
Answer: D. 17.4%
