What is cosx/ (secx-1) not in fractional form?
To find the expression cos(x) / (sec(x) - 1) in non-fractional form, we need to simplify and eliminate any fractions.
First, let's write sec(x) in terms of cos(x) since sec(x) is the reciprocal of cos(x):
sec(x) = 1 / cos(x)
Substituting this into the equation, we have:
cos(x) / (1/cos(x) - 1)
Next, we can simplify the denominator by finding a common denominator. The common denominator is cos(x), so we multiply both the numerator and the denominator by cos(x):
[cos(x) * cos(x)] / (1 - cos(x))
Simplifying further, we have:
cos²(x) / (1 - cos(x))
So, the expression cos(x) / (sec(x) - 1) in non-fractional form is cos²(x) / (1 - cos(x)).