AP EAMCET (EAPCET) Mathematic Multiple Choice Questions (MCQs)

111. The general solution of the equation sin x = 1/2 is:

• a) x = nπ + π/6
• b) x = 2nπ + π/6
• c) x = nπ + π/2
• d) x = 2nπ + π/2

Answer: a) x = nπ + π/6

112. The general solution of the equation cos x = -1 is:

• a) x = 2nπ
• b) x = nπ
• c) x = π + 2nπ
• d) x = π + nπ

Answer: c) x = π + 2nπ

113. The general solution of the equation tan x = 1 is:

• a) x = π/4 + nπ
• b) x = π/2 + nπ
• c) x = nπ
• d) x = π/3 + nπ

Answer: a) x = π/4 + nπ

114. The general solution of the equation sin x = -1/2 is:

• a) x = nπ - π/6
• b) x = 2nπ - π/6
• c) x = nπ + π/6
• d) x = nπ - π/3

Answer: a) x = nπ - π/6

115. The general solution of the equation cos 2x = 1/2 is:

• a) x = π/12 + nπ
• b) x = π/6 + nπ
• c) x = π/6 + nπ/2
• d) x = π/12 + nπ/2

Answer: d) x = π/12 + nπ/2

116. The general solution of the equation sec x = 2 is:

• a) x = ± cos^-1(1/2) + 2nπ
• b) x = ± cos^-1(1/2) + nπ
• c) x = ± cos^-1(2) + nπ
• d) x = ± cos^-1(1/2) + nπ/2

Answer: b) x = ± cos^-1(1/2) + nπ

117. The general solution of the equation cot x = √3 is:

• a) x = π/6 + nπ
• b) x = π/3 + nπ
• c) x = π/4 + nπ
• d) x = π/2 + nπ

Answer: b) x = π/3 + nπ

118. The general solution of the equation sin x = -√2/2 is:

• a) x = 5π/4 + 2nπ
• b) x = 7π/4 + 2nπ
• c) x = 5π/4 + nπ
• d) x = 3π/4 + nπ

Answer: a) x = 5π/4 + 2nπ

119. The general solution of the equation cos x = 0 is:

• a) x = nπ
• b) x = π/2 + nπ
• c) x = π + 2nπ
• d) x = π/2 + nπ

Answer: b) x = π/2 + nπ

120. The general solution of the equation tan x = 0 is:

• a) x = nπ
• b) x = π/2 + nπ
• c) x = nπ + π/2
• d) x = π/2 + 2nπ

Answer: a) x = nπ