- #1
chwala
Gold Member
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Homework Statement
Show that
## {(tan φ+sec φ-1)/(tan φ-sec φ+1)}≡ {(1+sin φ)/cos φ}##[/B]
Homework Equations
The Attempt at a Solution
## (sin φ+1-cos φ)/(sin φ+cos φ-1)##[/B]
How did you get this?## (sin φ+1-cos φ)/(sin φ+cos φ-1)##
That is what i did....let me look at my working again...To deal with expressions ##a-1## in a denominator, it is often useful to expand the quotient by ##a+1\,.##
still not getting...how can you get ##a-1## in denominator?No, you expanded the entire thing by ##\cos \varphi##. Now you can go ahead and write the denominator as ##a-1## and make ##a^2-1## out of it.
not really...how ## cos ψ?##No, you expanded the entire thing by ##\cos \varphi##. Now you can go ahead and write the denominator as ##a-1## and make ##a^2-1## out of it.