Q16 of 26 Page 1

Prove that

OR


Solve the equation for x :


Given:


Re - writing the given equation in the form of tan – 1, we get,




Formula:




Formula:



Hence, proved.


OR


Given:


Re - writing the given equation as,


Taking, tan-1x = m…..(1)


tan m = x


Now, drawing the right-angled triangle for this condition we get,



Formula:



Therefore,



And thus,


m


Therefore, we get,







More from this chapter

All 26 →
14

Solve the differential equation :

 15

Ishan wants to donate a rectangular plot of land for a school in his village. When he was asked to give dimensions of the plot, he told that if its length is decreased by 50 m and breadth is increased by 50 m, then its area will remain same, but if length is decreased by 10 m and breadth is decreased by 20 m, then its area will decrease by Using matrices, find the dimensions of the plot. Also, give a reason why he wants to donate the plot for a school.

 17

There are two bags A and B. Bag A contains 3 white and 4 red balls whereas bag B contains 4 white and 3 red balls. Three balls are drawn at random (without replacement) from one of the bags and are found to be two white and one red. Find the probability that these were drawn from bag B.

 18

Given that vectors form a triangle such that Find p, q, r, s such that area of a triangle is where and