Q21 of 45 Page 1

Prove that

tan^-1 ( cosx/1+sinx ) = pi /4 - x/2 , x in ( - pi /2 , pi /2 )


OR


Prove that:


sin^-1 ( 8/17 ) + sin^-1 ( 3/5 ) = cos^-1 ( 36/85 )

Given;






Dividing numerator and denominator with




Hence Proved


OR


Given;









Hence Proved


More from this chapter

All 45 →
19

If y = (tan - 1 x)2, show that (x2 + 1)2

 20

Using properties of determinants, prove that

 22

Let A = R - {3} and B = R - {1}. Consider the function f : A → B defined by Show that f is one - one and onto and hence find f - 1.

 23

Find the equation of the plane determined by the points A(3, –1, 2), B(5, 2, 4) and C(–1, –1, 6) and hence find the distance between the plane and the point P(6, 5, 9).