Chapter 03:Maths: Class XII :Trigonometric Functions DPP

TRIGONOMETRY PROBLEMS (SIMPLE LEVEL)

Chapter 3# : Trigonometric Functions

Subject : Maths                                                         Class XII

Total Marks: 15                                                 Time : 40 Min

Q 1 Answer the following questions                                       (5M)

a) The solutions of a trigonometric equation of an unknown angle x , between 0 to 2π are called_____.

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

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

i) Cot x = ⎷3      ii) Sin Ө = sin x   iii) ⎷3x = 17  iv)  Sin x + Sin 3x + sin 5x = 0

c) 1 + Cot²Ө = ____________

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

d) If Cos Ө = 0 then Ө = _______

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

e) For Sinx = 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 tan ²x =  tan ²β then x = nπ  β

b) Find the Principle solution of Sin x = 1/⎷2

c) Find the general Solution of CosӨ = 0

d) Find the Principle solution of Cot x = 1/⎷3

Q3 Solve the following  (any two)                                       (4M)

a) If   ⎷3 Cosec x = 2 then find the general Solution of equation.

b) Find the Principle solution of tan x = -1/⎷3

c) Convert 40⁰20’10’’ into radian measurement.