TRIGONOMETRY PROBLEMS (SIMPLE LEVEL)
Q 1 Answer the following questions (5M)
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
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.
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