Question

Help me prove this please???

Answer 1

\[\frac{ 1 - \sin \theta }{ \sec \theta } = \frac{ \cos^3 \theta }{ 1 + \sin \theta }\]

Answer 2

Take left hand side and multiply by a special kind of 1 :
\[\dfrac{1+\sin\theta}{1+\sin\theta}\]

Answer 3

I already started the problem, and I'm wondering if I can simplify the left hand side by changing the sec to 1/cos, which then, you can multiply the numerator by cos and the denominator is just 1.

Answer 4

Did you take time to read my reply thoroguhly ?

Answer 5

Yes?, but I was wondering if I can simplify the sec theta first...

Answer 6

you could do that

Answer 7

And then, I should multiply by the special kind of 1 right?

Answer 8

Yes, give it a try

Answer 9

alright thanks.

Answer 10

Yup, I proved it!