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

Dear student,

where arccos = cos-1 and arcsin = sin-1.

Regards.

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