Homework Help: Math

Posted by Chris on Sunday, January 7, 2007 at 7:58pm.

How do I solve this?
tan^2x= 2tanxsinx

My work so far:
tan^2x - 2tanxsinx=0
tanx(tanx - 2sinx)=0

Then the solutions are:

TanX=0

and
sinX/cosX = 2 sin X

Divide thru by sinX: we have to check this later to see if allowed (ie sinX is not zero)
cosX=1/2
Now, if CosX=1/2, then sinX must equal sqrt3/2, from cos^2 + sin^2=1 for any angle.

So, solutions: x = arctan 0
and x=arccos 1/2

check that.

No one has answered this question yet.

Answer this Question

Related Questions

Trigonometry - Given that a^2+b^2=2 and that (a/b)= tan(45degee+x), find a and b...
Trigo - Given that a^2+b^2=2 and that (a/b)= tan(45degee+x), find a and b in ...
maths - trigonometry - I've asked about this same question before, and ...
Mathematics - Trigonometric Identities - Prove: (tanx)(sinx) / (tanx) + (sinx...
Trigonometry Check - Simplify #3: [cosx-sin(90-x)sinx]/[cosx-cos(180-x)tanx] = [...
Pre-Calc - Trigonometric Identities Prove: (tanx + secx -1)/(tanx - secx + 1)= ...
Mathematics - Trigonometric Identities - Prove: sinx + tanx = tanx (1 + cosx) ...
trig - We are doing trig identities in school. I need help with these five: 1.1+...
Pre-Cal - Perform the addition or subtraction. tanx - sec^2x/tanx tan^2(x)/tan(x...
Math - How would you solve these questions using Trigonomic Identities? sin^2x...

For Further Reading

First Name:
School Subject:
Answer: