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In a triangle ABC, angle A is greater than angle B. If the measures of angles A and B satisfy the equation 3 sin x – 4 sin3x – k = 0, 0 < k < 1, then the measure of angle C is
  • a)
    π/3
  • b)
    π/2
  • c)
    2π/3
  • d)
    5π/6
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In a triangle ABC, angle A is greater than angle B. If the measures of...
Given that A > B and 3 sin x – 4 sin 3 x – k = 0, 0 <  k < 1
⇒ sin 3 x = k
As A and B satisfy above eq. (given)
∴ sin 3A = k,  sin 3B = k
⇒ sin 3A – sin 3B = 0

⇒ A + B = 60°  or  A = B
But given that A  >  B,   ∴  A ≠ B
Thus, A + B = 60°
But A + B + C = 180°  ⇒ C = 180° –  60° =  120°
∴ C = 2π3
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Most Upvoted Answer
In a triangle ABC, angle A is greater than angle B. If the measures of...
The equation you provided is incomplete. Could you please provide the complete equation for the measures of angles A and B?
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In a triangle ABC, angle A is greater than angle B. If the measures of angles A and B satisfy the equation 3 sin x – 4 sin3x – k = 0, 0 < k < 1, then the measure of angle C isa)π/3b)π/2c)2π/3d)5π/6Correct answer is option 'C'. Can you explain this answer?
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In a triangle ABC, angle A is greater than angle B. If the measures of angles A and B satisfy the equation 3 sin x – 4 sin3x – k = 0, 0 < k < 1, then the measure of angle C isa)π/3b)π/2c)2π/3d)5π/6Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a triangle ABC, angle A is greater than angle B. If the measures of angles A and B satisfy the equation 3 sin x – 4 sin3x – k = 0, 0 < k < 1, then the measure of angle C isa)π/3b)π/2c)2π/3d)5π/6Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a triangle ABC, angle A is greater than angle B. If the measures of angles A and B satisfy the equation 3 sin x – 4 sin3x – k = 0, 0 < k < 1, then the measure of angle C isa)π/3b)π/2c)2π/3d)5π/6Correct answer is option 'C'. Can you explain this answer?.
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