Chapter 03:Maths: XII :Trigonometric Functions DPP: Test 4

Chapter 3# : Trigonometric Functions

Subject : Maths                                                         Class XII

Total Marks: 20                                                Time : 40 Min

Q 1 Answer the following questions                                       (5M)

a) The solutions of a trigonometric equation which are generalised by using its periodicity are known as _____.

i) General Solution  ii) Principle Solution iii) Normal Solution iv) Ordinary Solution

b) Which of the following is not a trigonometric equation.

i) Cos x = ⎷3/2      ii) sec Ө = cosec x   iii) ⎷3x = 17  iv)  cos x + Sin 3x + tan 5x = 0

c) 1 + Cot²Ө = ____________

i) Sec²Ө   ii) Cosec²Ө  iii) tan²Ө  iv) Cos²Ө

d) If Sin Ө = 0 then Ө = _______

i) nπ ii) (2n+1)π/2   iii) 2nπ  iv) (2n+1)π

e) For Cos x = ½ then the general solution of x is

i) 0  ii) π/6,5π/6  iii) π/6,5π/6,13π/6…..    iv) (n+1) π/6

Q2 Prove the following equations (any three)                     (6M)

a) If sin ²x =  sin ²β then x = nπ 士 β

b) Find the Principle solution of cot x = ⎷3

c) Find the general Solution of tan x = ⎷3

d) Find the Principle solution of Cos x = - 1/2

Q3 Solve the following  (any three)                                       (9M)

a) If  Cos 2x = -1/ 2 then find the general Solution of equation.

b) Find the general solution of sin x + sin 3x  + sin 5x=0

c) Convert 60⁰30’10’’ into radian measurement.

d) Find the degree measurement of following angle 20^c,50^c.