Answer:
See Below.
Step-by-step explanation:
Problem 1)
We want to verify that:

Note that cot(x) = cos(x) / sin(x). Hence:

Multiply:

Recall that Pythagorean Identity: sin²(x) + cos²(x) = 1 or cos²(x) = 1 - sin²(x). Substitute:

Split:

Simplify:

Problem 2)
We want to verify that:

Square:

Convert csc(x) to 1 / sin(x) and cot(x) to cos(x) / sin(x). Thus:

Factor out the sin²(x) from the denominator:

Factor (perfect square trinomial):

Using the Pythagorean Identity, we know that sin²(x) = 1 - cos²(x). Hence:

Factor (difference of two squares):

Factor out a negative from the first factor in the denominator:

Cancel:

Distribute the negative into the numerator. Therefore:

Answer:
6 ---------> 2x : 48 = 3 : 12
9 ---------> 2 : 3 = 6 : x
16 --------> 12 : 15 = x : 20
24 -------> 4 : 7 = x : 42
Step-by-step explanation:
Answer:
Step-by-step explanation:
(7√2)(3√3) = 7·3·√2·√3
= 21√(2·3)
= 21√6
Total=shirtcost+tax
shirtcost=100%
8.5%+100%=108.5%=1.085
1.085 times 25.99=28.19915
round
total cost is
$28.20
Answer:
Google it, they should know.
Step-by-step explanation:
https://google.com