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INVERSE TRIGONOMETRIC FUNCTIONS, Total marks :8, Q.No - 2(1M),12(2M),13(2M), 26(3M )], Question No: 2 (1M), 1. Write the domain of f(x) = sinx., (2016-J), 2. Write the domain of f(x) = cosx ., (2014-M), 3. Write the domain of f(x) = tanx., 4. Write the domain of f(x) = secx, 5. Write the domain of f(x) = co sec x, 6. Write the domain of f(x) = cotx, 7. Write the domain of f(x) = sin 2x, 8. Find the principle value of cos, (2014-J), 9. Write the value of x for which 2 tanx = cos, holds., (2015-M), 10. Find the value of sin, 3, (2015-J), 11. Find the value of cos (sec x+cos ecx), x21., (2016-M), 12. Find the principle value, (2017-M), 13. Write the value of x for which tan, -|= cot (x) holds., (2017-J), 14. Write the principle value branch of cos (x)., (2018-M), 1, 15. Write the principle branch of (i) f (x)= sin (x) (ii)sec (x) (iii)cos, 57, (vii) cos, 13л, (iv) sin, 2, |(v) sec (-2) (vi) cos, (viii)cos*, cos, Cos, 3, 2, 16. Find the value of cot ( tan x+cotx), Page 5 of 38, 17. Write the range of f (x)= sinx in [0,27], 18. Write the range of y= cos x, (2018-J), 19. Write the set of values of x for which 2cosx = sin, (2.V1-x) holds., 20. Write the set of values of x for which 2sin'x = sin (2xv1-x) holds., 21. Write the set of values of x for which 3sinx= sin, (3x-4x') holds., 22. Find the principal value of cos, (2019-M), Question No: 12 & 13 (2M Each), 1-cos x, -1, 1. Write the simplest form of tan, 0<x<T., (2014-M, 2014-J, 2018-J), 1+ cos x, 2. Evaluate sin, sin, 3, 2, 3. Prove that tanx+cot, xER., 2, (2014-J), Math e-magic*s Tutor, magics utor