Welcome To Class : XII Subject : Maths Chapter : 4 Chapter : Inverse Trigonometric Functions IMPORTANT QUESTIONS 2 & 3 Marks Questions 1. Find the principal value of i) sin-¹(2) ii) tan-¹(√3 ) iii) tan-¹(-√3 ) iv) tan (tan-¹(2019)) v) tan ( tan-¹(1947)) vi) tan (tan-¹(-0.2021)) vii) cosec-¹(-1) viii) sec-¹ (-2) ix)cot-¹ (√3 ) x) cosec-¹(-√2) 2. Find the values of x such that i)-10 π ≤ x ≤ 10π and sin x =0 ii) -3π ≤ x ≤ 3π and sinx = -1 iii) -6π ≤ x ≤ 6π and cos x =0 iv) -5π ≤ x ≤ 5π and cos x = 1 3. For what value of x does sin x = sin-¹x? 4. State the reason for cos-¹[cos (-π/6)]≠ (-π/6) 5. Is cos-¹(-x) = π – cos-¹(x) true? Justify your answer. 5 Mark Questions 1. Find the values of i) 2 cos-¹(1/2) + sin-¹(1/2) ii) cos-¹(1 /2)+ sin-¹(-1) iii) tan-1(√3) - sec-1(-2) 2. Find the values of i) cos-¹[(cos π/7).(cos π/17) - (sin π/7).(sin π/17)] ii) sin-¹[(sin ...
