Answer:
a)
,
,
,
, b)
,
,
, 
Step-by-step explanation:
a) The equation must be rearranged into a form with one fundamental trigonometric function first:





Value of x is contained in the following sets of solutions:
, 
, 
b) The equation must be simplified first:




Value of x is contained in the following sets of solutions:
, 
, 
Answer:
56.39 nm
Step-by-step explanation:
In order to have constructive interference total optical path difference should be an integral number of wavelengths (crest and crest should be interfered). Therefore the constructive interference condition for soap film can be written as,

where λ is the wavelength of light and n is the refractive index of soap film, t is the thickness of the film, and m=0,1,2 ...
Please note that here we include an additional 1/2λ phase shift due to reflection from air-soap interface, because refractive index of latter is higher.
In order to have its longest constructive reflection at the red end (700 nm)

Here we take m=0.
Similarly for the constructive reflection at the blue end (400 nm)

Hence the thickness difference should be

Answer:
True
Step-by-step explanation:
What you can do is multiply 400*20= 8,000. From here, we know that 399*20 is just one less group of 20 than 400. Therefore, we can subtract (1*20) from 8,000 to get the final answer.
8000-20=7980
Hope this helps!
Answer: 1 1/3
Step-by-step explanation: slope is the difference in y values over the difference in the c values