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Math 11 Chapter 14
Solution of Trigonometric Equations
Test - 1
1.
If Sin x -= Cos x, then the general solution is
a) n π, where n ε Z
b) π / 4
c) π / 4 + 2n π, where n ε Z
d) 2n π, where n ε Z
2.
Solution of the equation Sin x =
√
3
/ 2, x ε(0, π) are
a) π / 6, π / 3
b) π / 3, 2π / 3
c) None of these
d) π / 3, 5 π / 3
3.
General solution of the equation 1 + Cos x = 0 is
a) { π/2 + 2nπ}
b) {- π/2 + 2nπ}
c) {π + 2nπ}
d) None of these
4.
Solution of the equation 1 + Cos x = 0 is
a) None of these
b) 2 π
c) π/2
d) π
5.
Cos x = ½ has solution:
a) π/3
b) π/4
c) π/2
d) π/6
6.
The solution set of tan 2x = 1 in (0, π) is:
a) { π/4, 5π/4}
b) {π/8, 5π/8}
c) { π/4, 3π/4}
d) None of these
7.
The solution set of sec x = - 2 in (0, π) is:
a) 2π/3, 4π3
b) None of these
c) π/3, 2π/3
d) π/3, 4π/3
8.
The solution set of sin x = 0 is :
a) n π, n ε Z
b) 2nπ, n ε Z
c) None of these
d) 2nπ, n ε Q
9.
The solution of tan2 x = 3, which lie in (o, π) is
a) None of these
b) π/3, 4π/3
c) 4π/3, 5π/3
d) π/3, 2π/3
10.
If tan (x/2) =
√
3
, and x lies in (0, 2π), then x is equal to
a) None of these
b) π/6 and 5π/6
c) 0 and x
d) π/3 and 5π/3
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