Sail Through JEE: Trigonometric Equations & Inequations

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Question 1

The solution set of (5 + 4 cosθ)(2 cos θ + 1) = 0 in the interval [0, 2π] is

• A
• B
• C
• D

Question 2

If sin²(θ - α) cosα = cos²(θ - α) sinα =m sinα cosα , then

• A|m|≤ 1/√ 2
• B|m|≥ 1/√ 2
• C|m|≥ 1
• D|m|≤ 1

Question 3

The number of solution(s) of the equation in the interval is/are.

• A2
• B8
• C16
• DNo solution

Question 4

If a is irrational and then

• Ax = 0 is the only solution
• Bthere are infinite solutions to the equation
• CThe system has no solutions
• DNone of these

Question 5

If x is acute & satisfies the equation , then value of is

• A
• B
• C
• DNone of these

Question 6

if

• A
• B
• C
• D

Question 7

If a is irrational and 1+sin²ax = cosx , then

• A x = 0 is the only solution
• Bthere are infinite solutions to the equation
• CThe system has no solutions
• DNone of these

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