Find the missing side lengths. Leave your answers as radicals in simplest form. Show your work to support your answer
1 answer:
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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!
2 times what = -4?
-2 does
-2 x 2 = -4
-4 time what = 8?
Again, -2.
-2 x -4 = 8
You could do this over and over again or make a table, or you can make a function.
f(n) = f(1) • r
f(1) in this case is 2.
f(n) = 2 • r
r is rate of change, which is -2.
f(n) = 2 • -2
To find the 12th number in the sequence, just substitute n for 12.
f(12) = 2 • -2
f(12) = 2 • -2
-2^11 = -2048
2 x -2048 = -4096
So the 12th number in the sequence will be -4096.
-2 does
-2 x 2 = -4
-4 time what = 8?
Again, -2.
-2 x -4 = 8
You could do this over and over again or make a table, or you can make a function.
f(n) = f(1) • r
f(1) in this case is 2.
f(n) = 2 • r
r is rate of change, which is -2.
f(n) = 2 • -2
To find the 12th number in the sequence, just substitute n for 12.
f(12) = 2 • -2
f(12) = 2 • -2
-2^11 = -2048
2 x -2048 = -4096
So the 12th number in the sequence will be -4096.