Simplify and write the trigonometric expression in terms of sine and cosine:

tanxcscx= 1/f(x)
What does f(x)=

To simplify and write the trigonometric expression in terms of sine and cosine, we need to recall the definitions of the trigonometric functions:

1. Tangent (tanx) is defined as the ratio of sine to cosine: tanx = sinx/cosx
2. Cosecant (cscx) is the reciprocal of sine: cscx = 1/sinx

Given the equation:
tanxcscx = 1/f(x)

We can substitute the definitions above to simplify the expression:
(sin x / cos x) * (1 / sin x) = 1 / f(x)

Now, we can cancel out sin x from the numerator and denominator to get:
1 / cos x = 1 / f(x)

So, f(x) must be equal to cos x.

sinx/cosx * 1/sinx= 1/f(x)

1/cosx=1/f(x)

I assume you can take it from here.