bdeats3 bdeats3
  • 16-03-2014
  • Mathematics
Answered

Not sure how to solve 2sinxcosx+cosx=0  Could you help?



Answer :

Аноним Аноним
  • 16-03-2014
[tex]2sinxcosx+cosx=0\\\\cosx(2sinx+1)=0\iff cosx=0\ \vee\ 2sinx+1=0\\\\cosx=0\ \vee\ 2sinx=-1\ /:2\\\\cosx=0\ \vee\ sinx=-\frac{1}{2}\\\\x=\frac{\pi}{2}+k\pi\ \vee\ x=-\frac{\pi}{6}+2k\pi\ \vee\ x=\frac{7\pi}{6}+2k\pi\ to\ k\in\mathbb{Z}[/tex]
Answer Link

Other Questions

one-sixth of a number is 66
Explain why volcanoes are common in the Ring of Fire.
An author is having a book signing at a store. He agrees to give 5% of his profit to literacy programs and 15% of his profit to his manager. If he makes a profi
Carmen listed the multiples of 6 as 1,2,3, and 6. Is she correct? Explain why or why not.
How to solve this problem .         0.3 [1.57 – (0.6)²]
Evaluate the expression (11/7)(5/3)(3/1)
three is twenty-one, divided by the sum of a number and five
How many squares for three traits?
Justify the Distance Formula using the Pythagorean Theorem.
A rectangular room is four times as long as it is wide, and its perimeter is 70 meters. Find the width of the room.