Ask
your own question, for FREE!
Mathematics
48 Online
need to prove that (sin(x)+sin(3x))\cos(x)+cos(3x))=tan(2x)
Still Need Help?
Join the QuestionCove community and study together with friends!
sinx+sin3x=2sin(x+3x)/2cos(x-3x)/2 =2sin(4x)/2cos(-2x)/2 =2sin2xcos(-x) cos(-x)=cosx =2sin2xcosx..............A cosx+cos3x=2cos(x+3x)/2cos(x-3x)/2 =2cos(4x)/2cos(-2x)/2 =2cos2xcosx.............B DIVIDING A by B (sinx+sin3x)/cosx+cos3x=(2sin2xcosx)/2cos2xcosx cancelling cosx by cosx & 2 by 2 gives =sin2x/cos2x =tan2x
Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!
Join our real-time social learning platform and learn together with your friends!
Join our real-time social learning platform and learn together with your friends!
Latest Questions
ShinePrincess:
Write a function that will create the following transformation. Shift f(x) down 3
forgetmylife:
Only the real understand ud83eudd26ud83cudffdu2642ufe0f I'm tired. Tired of the constancy, the constancy of judgment.
rishavraj:
Just trying to find a friend. We met on openstudy, her nickname on there was something "tarantula".
1 hour ago
0 Replies
0 Medals
11 hours ago
2 Replies
1 Medal
2 hours ago
4 Replies
0 Medals