Prove Identities

**satishgaire** · January 26th 2010, 08:30 PM

hi,
can u help me?
I have spent over 2 hours trying to figure it out but was unsucessful. can you please prove the identities. thanks!
1) Cos X/Sec X - 1 - Cos X/tan^2 X = Cot^2 X

2) Sin X / 1 - Cos X + 1 - Cos X / Sin X = 2CSC X

**mathaddict** · January 26th 2010, 10:42 PM

Originally Posted by satishgaire

hi,
can u help me?
I have spent over 2 hours trying to figure it out but was unsucessful. can you please prove the identities. thanks!
1) Cos X/Sec X - 1 - Cos X/tan^2 X = Cot^2 X

2) Sin X / 1 - Cos X + 1 - Cos X / Sin X = 2CSC X

hi

(1) Combine the fractions first to get .

$\frac{\sin^2 x+(1-\cos x)^2}{\sin x(1-\cos x)}$

$\frac{\sin^2 x+\cos^2 x+1-2\cos x}{\sin x(1-\cos x)}$

try continuing here .

(2) $\frac{\cos x}{\sec x-1}\cdot \frac{\sec x+1}{\sec x+1}-\frac{\cos x}{\tan^2 x}$

$\frac{\cos x\sec x+\cos x}{\sec^2 x-1 }-\frac{\cos x}{\tan^2 x}$

$\frac{1+\cos x}{\tan^2 x}-\frac{\cos x}{\tan^2 x}$

Then simplify .

Thread: Prove Identities

LinkBack

Thread Tools

Display

Prove Identities

Similar Math Help Forum Discussions

prove the following identities.

Can someone help me prove these two identities?

Prove these identities.

help Prove identities

Prove the following identities.............

Search Tags