Which of the following describes the domain of y = tan x, where n is any integer? a. x≠2nπ b. x≠π/2+nπ c. x≠nπ d. x≠nπ/2

The correct answer is: Option (B)  

Explanation:

Given function:

We know that,

To find the domain, put the "denominator" equal to zero, as follows:

Now ask yourself the following question to find domain: For what values of x, will be equal to 0? Well, for where n = any integer.

Therefore, the domain of y = tan(x) is:

(Option B)

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47