Question

Prove that:
\[\frac {cosA}{1-tanA}+\frac{sinA}{1-cotA}=sinA+cosA\]

Answer 1

hi first these ratios to sin and cos then solve.

Answer 2

change ratios

Answer 3

i've tried that.

Answer 4

but still not getting

Answer 5

use this

\(\huge \frac{cos A}{1- tan A}=\frac{cos^2 A}{cos A- sin A} \)

Answer 6

I used a series of steps to prove it and I can show you in vyew.

Answer 7

write the tanA as sinA/cosA, and the cotA as cosA/sinA first.

Answer 8

I don't feel like latexing all the steps

Answer 9

then, try to find the lcd on each of the bottom.

Answer 10

It is not necessary to find lcds to solve it

Answer 11

@mukushla i have done the same.

Answer 12

it is, to simplify the bottom part, then after that, try to factor out -1, on one of the bottoms, to make the denominators equal.

Answer 13

pls someone provide me sol.

Answer 14

try to do the step we provide first. we will check your work, there's nothing wrong on trying. :))