sin (2 theta)=3 cos theta find the soloutions to the equation on the interval [0, 4pi]

Find all soloutions to the equation on the interval [0,4pi] : sin (2theta)= 3cos(theta)
in Trigonometry Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

sin(2ø)=2sinøcosø, so 2sinøcosø=3cosø, and cosø(2sinø-3)=0. Solutions are ø=(pi)/2, 3(pi)/2, 5(pi)/2, 7(pi)/2 because cosø=0 for these values. sinø=3/2 has no solutions, because sin cannot exceed 1.

by Top Rated User (1.2m points)

Related questions

1 answer
FIND COS THETA/2, SIN THETA/2,TAN THETA/2
asked Mar 10, 2013 in Trigonometry Answers by helptrighw Level 1 User (360 points) | 1.1k views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!

Most popular questions within the last 3000 days

  1. 50+50-25X0+2+2= (19)
  2. it takes 10 road workers 5 days to complete a road repair when working 2 hours a day.Working at the same pace,how many days will it take 2 people working 5 hours a day to finish it? (3)
  3. Solve 15 -1(12÷4+1)? (4)
  4. 8:4(5+2) (3)
  5. How can i represent 1/3; 3/3; 7/3; 10/3 and 15/3 on a number line? (1)

Most popular tags

87,516 questions
100,279 answers
2,420 comments
731,171 users