TN Maths, 12th Chapter 4 Important Questions

                      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 5π/9).(cos π/9) + (cos 5π/9).(sin π/9)]

Thank You For Refering On Our Page