Prove that: `t a n 70^0=t a n 20^0+2t a n 50^0dot`

Prove that : t a n A+tan(60^0+A)+tan(120^0+A)=3t a n3A

If sintheta=-1/2a n d\ t a ntheta=1/(sqrt(3))t h e n\ theta s equal to- 30^0 b. 150^0 c. 210^0 d.none of these

Prove that sum_(r=0)^n 3^r n Cundersetr = 4^n .

Prove that the greatest value of .^(2n)C_(r)(0 le r le 2n) is .^(2n)C_(n) (for 1 le r le n) .

The position of a particle is given by r=3.0thati+2.0t^(2)hatj+5,0hatk where t is in seconds and the coefficients have the proper units for r to be in matres. (a) Find v (t) and a(t) of the particle . (b) Find the magnitude and direction of v (t) at t=1.0 s.

Prove that, sin10^(@)+sin50^(@)-sin70^(@)=0

For an A.P., show that t_(m) + t_(2n + m) = 2t_( m + n)

A molecule M associates in a given solvent according to the equation M hArr (M)_(n) . For a certain concentration of M, the van't Hoff factor was found to be 0.9 and the fraction of asscoiated molecules was 0.2 . The value of n is:

At t=0 two trucks A and B were at same point on the road . At t=t_(1) , (motion of trucks A and B is represented by bold and dotted lines respectively) :-