Posted by Andrea on Thursday, February 28, 2008 at 5:01pm.
Verify that each of the following is an identity.
tan^2xsin^2x=tan^2xsin^2x
I can get it down to cos^2 on the right, but cannot get it to work out on the left.
secx/cosx  tanx/cotx=1
On the left I got down to 1tan^2, but that clearly doesn't equal 1....
12cos^2x/sinxcosx=tanxcotx
I'm really not sure where to go with this one. Any help would be appreciated. Thanks in advance.

Trig  Reiny, Thursday, February 28, 2008 at 6:54pm
For the first, I am going to start on the left
LS = sin^2 x/cos^2 x  sin^2 x
= (sin^2 x  sin^2 xcos^2 x)/sin^2 x
= sin^2x(1  cos^2 x)/sin^2 x
= (sin^2 x)(sin^2 x)/cos^2 x
= tan^2 x sin^2 x
= RS
for the second
LS = 1/cos^2 x  (sinx)/cosx)]/[cosx/sinx)]
= 1/cos^2 x  sin^2 x/cos%2 x
= (1  sin^2 x)/cos^2 x
= cos^2 x/cos^2 x
= 1
= RS
Answer This Question
Related Questions
 trig  it says to verify the following identity, working only on one side: cotx+...
 PreCalculus  How do you verify: 1.) sinxcosx+sinx^3secx=tanx 2.) (secx+tanx)/(...
 trig  verify the identity: tan^2x(1+cot^2x)=1/1sin^2x Verify the Id: tanx + ...
 Trigonometry  Prove the following trigonometric identities. please give a ...
 PreCalc  Trigonometric Identities Prove: (tanx + secx 1)/(tanx  secx + 1)= ...
 PreCalc  How do I solve this? My work has led me to a dead end. tan(45x) + ...
 Math  1)A piano tuner uses a tuning fork. If middle C has a frequency of 264 ...
 Trig Identities  Prove the following identities: 13. tan(x) + sec(x) = (cos(x...
 Simplifying with Trigonometry Identities  Hi, I am a senior in High School ...
 TRIG..............  Q.1 Prove the following identities: (i) tan^3x/1+tan^2x + ...
More Related Questions