Recent content by xphloem

t=sin^{-1}t^{\frac{1}{2010}}

Homework Statement \int\frac{sin^{2010}x}{2010} The Attempt at a Solution All that I could do was to : \frac{1}{2010^{2}}\int tan x dt Please help me futher!

Homework Statement Consider the two vectors L= i +2j+3K K=4i+5j+6k Find scalar 'a' such that: L - aK is perpndicular to L. Homework Equations if two vectors are perpenicular dot product=0 The Attempt at a Solution (i+2j+3k).{(1-4a)i+(2-5a)j+(3-6a)k}=0 I get three values of a...

How can all of them be in one plane the first on is in xy plane second one in xz plane and the third in yz plane am I wrong?

pl reply me

Homework Statement Can 1. three 2. four vectors in different planes add up to give a zero resultant? Homework Equations The Attempt at a Solution 1. Yes. 2. Yes. 1. suppose that we resolve the 3 vectors in i,j,k components. Putting each one of them zero in the...

I hav got my answer. Moderators delete this thread!

I got this from the following equations: 2 sin A sin B= cos (A-B)-cos(A+B) 2 cos A cos B=cos (A-B)+cos(A+B) Divide the (i) by (ii) to obtain the result :)

thanks all. I got this in a book called brain teasers. I have solved it myself. thanks for all the help!

Homework Statement My calculator shows tan 6. tan 42. tan 66. tan 78 =1 Ho is this possible? Homework Equations tan (90-x)=cot x The Attempt at a Solution but these angles are not supplementary. Ho is this possible?