rewrite cosx/secx-1 not in fractional form
If you mean (cosx/secx) -1 , that equals cos^2 -1, which equals -sin^2 x.
Do you instead mean cosx/(secx -1) ?
yes i meant to have it with parantheses
To rewrite cosx/secx-1 without using fractional form, we can first find a common denominator for cosx and secx. The reciprocal identity of secx is 1/cosx, so we can rewrite secx as 1/cosx.
Now, the expression becomes cosx/(1/cosx) - 1.
To divide by a fraction, we can multiply by its reciprocal. So, we can multiply cosx by cosx/1, which gives us cos^2x.
The expression now becomes cos^2x - 1.
To further simplify, we can use the identity cos^2x = 1 - sin^2x.
Therefore, cosx/secx-1 can be rewritten as 1 - sin^2x.