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About LinkBacks1. cosxtanx-1+tanx-cosx=0
2. 2sinxtanx- tanx- 2sinx +1 = 0
Help would be greatly appreciated
- Thank you
Here's the first one.Originally Posted by iamdenis
When faced with trig problems like these, what you want to do is first see if any trig identities can siplify things a bit. If not, treat each trig function as a variable, and facter as you would normally. for instance, the first one is:
tan^2x - 4tanx = 0
if we thought of tangent as a variable, say y, the problem would become:
y^2 - 4y = 0
that's a regular quadratic equation, you should have no problem with that. that is the basis of how i approached the problem. try the second one and tell me if you get it
EDIT: i see that you changed question 1. anyway, it doesn't matter, the same method is applicable. try them
yeah i was kind of over thinking the problem that i changed, cause just as i posted it i figured out how easy it was. But for the other ones im not sure if im going in the right direction, for ex #2
2sinxtanx- tanx- 2sinx +1 = 0
2sin²/cosx - sinx/cosx - 2sinxcosx/cosx + cosx/cosx= 0
is that what i should be doing? or am i over doing it again? lol
yes, you are over doing it again i'm afraid, lol. calm down
2sinxtanx - tanx - 2sinx + 1 = 0 .......factor out the common term from each pair
=> tanx(2sinx - 1) - (2sinx - 1) = 0 ....now we have a common 2sinx - 1, factor it out
=> (2sinx - 1)(tanx - 1) = 0
can you take it from here?
yes, you are over doing it again i'm afraid, lol. calm down
2sinxtanx - tanx - 2sinx + 1 = 0 .......factor out the common term from each pair
=> tanx(2sinx - 1) - (2sinx - 1) = 0 ....now we have a common 2sinx - 1, factor it out
=> (2sinx - 1)(tanx - 1) = 0
can you take it from here?
wow, i love how simple this stuff actually is lol, im just a bit to paranoid. thanks alot for the help
yeah, a lot of students get paranoid with trig. just calm down, take a deep breath and approach them with a cool head. if seeing trig makes you sqirm, just replaced them with a variable as i suggested earlier, and you will be able to think straight. another thing that often scares students is logarithms, especially ones that involve ln and e, don't fall into that trap
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