text: # trig
  
  find the exact value by using the appropriate half-angle identity:
  
  sin(5pi/12)
  
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  1. Some students can "think" better in degrees than radians, so 5π/12 rd = 75°
  
  sin75 = sin(30+45)
  = sin30cos45 + cos30sin45
  = (1/2)√2/2 + (√3/2)(√2/2)
  = (√2 + √6)/4
  
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  posted by Reiny
  
  ## Similar Questions
  
  1. ### trig
  
  using the fact that 5pi/8=1/2(5pi/8) and the half angle identity for cos to find the exact (in terms of radicals) value of cos(5pi/8)
  
  asked by charly on April 14, 2010
  2. ### MATH
  
  1.)Find the exact solution algebriacally, if possible: (PLEASE SHOW ALL STEPS) sin 2x - sin x = 0 2.) GIVEN: sin u = 3/5, 0 < u < ï/2 Find the exact values of: sin 2u, cos 2u and tan 2u using the double-angle formulas. 3.)Use the
  
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  3. ### Trig
  
  Find the exact value of tan 5pi/12 using the half-angle identity.
  
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  4. ### Pre Cal.
  
  1. Use half-angle identity to find the exact value of cos165. MY ANSWER: (-1/2)sqrt(2+sqrt(3)) 2. Solve 2 sin x + sqrt(3) < 0 for 0
  
  asked by Danny on June 16, 2009
  5. ### Math
  
  Use a double or half angle identity to find the exact value of the following expression: if cos x= 4/5 and 270° < x < 360°, find sin 2x Please help! Thanks
  
  asked by mysterychicken on January 30, 2013
  6. ### Precalculus check answers help!
  
  1. Which expression is equivalent to cos 2theta for all values of theta ? cos^2 theta – sin^2 theta ~ cos^2 theta – 1 1 – 2 sin^2 theta 2 sin theta cos theta 2. Use a half–angle identity to find the exact value of sin
  
  asked by Kelsey on May 28, 2012
  7. ### Trigonometry
  
  use the appropriate trig identity (sum and difference, half angle, double angle) to find the exact value. 1)cos 255 degrees 2) sin 165 degrees 3) tan 285 degrees
  
  asked by Jennifer on March 3, 2011
  8. ### math
  
  Use the exact values of the sin, cos and tan of pi/3 and pi/6, and the symmetry of the graphs of sin, cos and tan, to find the exact values of si -pi/6, cos 5/3pi and tan 4pi/3. I have found the answers to the first three using
  
  asked by jenny on August 24, 2011
  9. ### math
  
  use exact values of the sin,cos and tan of (pi/3) and (pi/6)(which I have found)and the symmetry of the graphs of sin,cos and tan to find the exact values of sin(-pi/6), cos(5pi/3) and tan (4pi/3). I know that sin -(pi/6) = -1/2
  
  asked by jenny on August 23, 2011
  10. ### trigo
  
  Use a half measure identity to find the exact value.. Cos t= 1/3 and 0
  
  asked by rai zan on September 28, 2014
  
  More Similar Questions
explanation: 1. The text extract contains a math question that asks the reader to find the exact value of sin(5pi/12) using the appropriate half-angle identity. The answer is provided in the text, which is (√2 + √6)/4.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # trig
  
  find the exact value by using the appropriate half-angle identity:
  
  sin(5pi/12)
  
  1. 👍 0
  2. 👎 0
  3. 👁 83
  1. Some students can "think" better in degrees than radians, so 5π/12 rd = 75°
  
  sin75 = sin(30+45)
  = sin30cos45 + cos30sin45
  = (1/2)√2/2 + (√3/2)(√2/2)
  = (√2 + √6)/4
  
  1. 👍 0
  2. 👎 0
  posted by Reiny
  
  ## Similar Questions
  
  1. ### trig
  
  using the fact that 5pi/8=1/2(5pi/8) and the half angle identity for cos to find the exact (in terms of radicals) value of cos(5pi/8)
  
  asked by charly on April 14, 2010
  2. ### MATH
  
  1.)Find the exact solution algebriacally, if possible: (PLEASE SHOW ALL STEPS) sin 2x - sin x = 0 2.) GIVEN: sin u = 3/5, 0 < u < ï/2 Find the exact values of: sin 2u, cos 2u and tan 2u using the double-angle formulas. 3.)Use the
  
  asked by MAKITA on April 10, 2009
  3. ### Trig
  
  Find the exact value of tan 5pi/12 using the half-angle identity.
  
  asked by Cynthia on October 15, 2011
  4. ### Pre Cal.
  
  1. Use half-angle identity to find the exact value of cos165. MY ANSWER: (-1/2)sqrt(2+sqrt(3)) 2. Solve 2 sin x + sqrt(3) < 0 for 0
  
  asked by Danny on June 16, 2009
  5. ### Math
  
  Use a double or half angle identity to find the exact value of the following expression: if cos x= 4/5 and 270° < x < 360°, find sin 2x Please help! Thanks
  
  asked by mysterychicken on January 30, 2013
  6. ### Precalculus check answers help!
  
  1. Which expression is equivalent to cos 2theta for all values of theta ? cos^2 theta – sin^2 theta ~ cos^2 theta – 1 1 – 2 sin^2 theta 2 sin theta cos theta 2. Use a half–angle identity to find the exact value of sin
  
  asked by Kelsey on May 28, 2012
  7. ### Trigonometry
  
  use the appropriate trig identity (sum and difference, half angle, double angle) to find the exact value. 1)cos 255 degrees 2) sin 165 degrees 3) tan 285 degrees
  
  asked by Jennifer on March 3, 2011
  8. ### math
  
  Use the exact values of the sin, cos and tan of pi/3 and pi/6, and the symmetry of the graphs of sin, cos and tan, to find the exact values of si -pi/6, cos 5/3pi and tan 4pi/3. I have found the answers to the first three using
  
  asked by jenny on August 24, 2011
  9. ### math
  
  use exact values of the sin,cos and tan of (pi/3) and (pi/6)(which I have found)and the symmetry of the graphs of sin,cos and tan to find the exact values of sin(-pi/6), cos(5pi/3) and tan (4pi/3). I know that sin -(pi/6) = -1/2
  
  asked by jenny on August 23, 2011
  10. ### trigo
  
  Use a half measure identity to find the exact value.. Cos t= 1/3 and 0
  
  asked by rai zan on September 28, 2014
  
  More Similar Questions
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: 1. The text extract contains a math question that asks the reader to find the exact value of sin(5pi/12) using the appropriate half-angle identity. The answer is provided in the text, which is (√2 + √6)/4. 
  
  Label: question-and-answer