Answer:
(a)
(b) L reaches its maximum value when θ = 0 because cos²(0) = 1
Step-by-step explanation:
Lambert's Law is given by:
(1)
(a) We can rewrite the above equation in terms of sine function using the following trigonometric identity:

(2)
By entering equation (2) into equation (1) we have the equation in terms of the sine function:
(b) When θ = 0, we have:
We know that cos(θ) is a trigonometric function, between 1 and -1 and reaches its maximun values at nπ, when n = 0,1,2,3...
Hence, L reaches its maximum value when θ = 0 because cos²(0) = 1.
I hope it helps you!
Answer:
48 in
Step-by-step explanation:
The diagonal of the inscribed square equals the diameter of the circle.
1. Calculate the diagonal of the square
d = 2r = 2 × 6√2 in =12√2 in
2. Calculate the side of the square
∆ACB is an isosceles right triangle.
We can use Pythagoras' Theorem to calculate the length of a side s.

3. Calculate the perimeter of the square
P = 4s = 4 × 12 in = 48 in
The perimeter of the square is 48 in.