- #1
atomicpedals
- 209
- 7
The other day in a fit of boredom I decided to dust off my old math books (high school and undergrad) and see if I can still crank through the basics.
1. Homework Statement
Show the following: $$ \frac { 3 cos^2(x) } { 2 - 2 sin(x) } = \frac { 3 }{ 2 } ( sin(x) + 1 ) $$
$$ sin^2(x) + cos^2(x) = 1 $$ $$ cos^2(x) = 1 - sin^2(x) $$
I make it about halfway to a solution and then draw a blank.
$$ \frac { 3 cos^2(x) } { 2 - 2 sin(x) } = \frac { 3 (1 - sin^2(x)) } { 2 - 2 sin(x) } $$ $$ = \frac { 3 - 3 sin^2(x) } { 2 - 2 sin(x) } $$ I get the feeling I've overlooked something fairly obvious or swapped a sign somewhere, but it's not jumping off the page at me. Any nudges in the right direction are greatly appreciated.
1. Homework Statement
Show the following: $$ \frac { 3 cos^2(x) } { 2 - 2 sin(x) } = \frac { 3 }{ 2 } ( sin(x) + 1 ) $$
Homework Equations
$$ sin^2(x) + cos^2(x) = 1 $$ $$ cos^2(x) = 1 - sin^2(x) $$
The Attempt at a Solution
I make it about halfway to a solution and then draw a blank.
$$ \frac { 3 cos^2(x) } { 2 - 2 sin(x) } = \frac { 3 (1 - sin^2(x)) } { 2 - 2 sin(x) } $$ $$ = \frac { 3 - 3 sin^2(x) } { 2 - 2 sin(x) } $$ I get the feeling I've overlooked something fairly obvious or swapped a sign somewhere, but it's not jumping off the page at me. Any nudges in the right direction are greatly appreciated.