Q 3.What is the principal value of cos−1 (cos 3π/4 ) + sin-1 (sin3π/4 ).

Q 3.What is the principal value of cos−1 (cos 3π/4 ) + sin-1 (sin3π/4 ). 14:37
t e equation o e norma tot e cune x-
y w IC passes t rouo e point( ,
34..Discuss the continuity of sine and cosine function.
35. Show that f(x) = lx — 31, x is continuous but not differentiable at x = 3.
dy
36. If y = e x: find —
dx
dy
37. If
) find —
dx
38. Find day dxa if x = at2 , y = 2at
39.. prove that — =
40.Find day / dx2 ifx=at2, 2at
RELATIONS AND FUNCTIONS
1. Write the number of all one —one functions from the set A = {a , b , c
to itself
2. Let * be a binary operation defined by a*b = a - b + ab. Find 7*5
3. What is the principal value Of: cos¯l (cos' + sin-I (sin—j
4. Find the principal value of cos I (2) — 2sin•l (2)
5. Evaluate tan-I [ 2 cos (2 sin -1 1/2) I
6. Prove that
the inverse Of an equivalence relation is an equivalence
relation.
7. The intersection of two equivalence relations on a set is an equivalence