cscx/1-sinx
what about it?
did you mean to type
cscx/(1-sinx) ? and you want it simplified?
Yes, rewrite it as an expression that does not involve a fraction.
(csc x)(1/(1-sinx)
=(csc x) * 1/(1-sinx) * (1+sinx)/(1+sinx)
= (csc x)(1 + sinx) / cos^2 x
= (csc x)(1+sinx)(sec^2 x)
there, no fractions, but it sure looks more complicated than before.
To simplify the expression cscx/1-sinx, we can first rewrite cscx as 1/sinx.
Starting with the original expression, cscx/1-sinx, substitute cscx with 1/sinx:
(1/sinx)/(1-sinx)
Next, we need to get rid of fractions in the denominator. To do this, we can multiply both the numerator and denominator by sinx:
(1/sinx)*(sinx/sinx)/(1-sinx)*(sinx/sinx)
Simplifying further, we have:
1/(sinx - sin^2x)
Now, we want to simplify the expression by factoring out sinx:
1/(sinx*(1 - sinx))
The final simplified form of cscx/1-sinx is 1/(sinx*(1 - sinx)).