<u>Step-by-step explanation:</u>
To prove:

Identities used:
......(1)
........(2)
.......(3)
Taking the LHS:

Using identity 1:

Using identities 2 and 3:

As, LHS = RHS
Hence proved
Answer: The amount of white fabric to coloured fabric as a ratio in its simplest form is 
Step-by-step explanation:
Given :
Amount of coloured fabric used by June = 11 mm = 1.1 cm (1 mm=0.1 cm)
Amount of white fabric used by June = 1 cm
To find : amount of white fabric to coloured fabric as a ratio in its simplest form
To find the ratio in simplest form , the units of both measurements should be same
Thus 
The amount of white fabric to coloured fabric as a ratio in its simplest form is 
Answer:
A) 4π
Step-by-step explanation:
The period of a secant function, f(x)=a*sec(bx+c)+d, is defined as 2π/|b| where b is the distance of the period. Since we know b=1/2 given by the function, then the period is 2π/|1/2|=2π/(1/2)=2π(2/1)=4π.
Answer:
B. Brand A $0.21
Step-by-step explanation:
(round to nearest cent)
Brand A: 21.99/105 = .2094 = .21 ( .2094 rounds to .21)
Brand B: 17.99/80 = .2248 = .22 ( .2248 rounds to .22)
Therefore Brand A is a better buy for $0.21 per load