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 20c,50c.
