Rewrite the expression so that it is not in fractional form.

Question

8 / tan (x) + sec (x)

Answer: ____

Answer 1

Multiply the numerator and denominator of 8 / (tanx + secx) by tanx - secx to get:

8(tanx - secx) / (tan²x - sec²x)

Since tan²x + 1 = sec²x, tan²x - sec²x = -1.

So, we have 8(tanx - secx) / (-1) = 8(secx - tanx)