Calculate the exact value of: cos(pi/12)

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
icon
Related questions
Question

Hey there, I have these following trignometric equations that I need help with. I was hoping if I could get them solved. If possible, please provide exact steps. 

 

Calculate the exact value of: cos(pi/12)

Calculate the exact value of: sin(3pi/4)

Verify the identity: sinx^2 (cotx + 1)^2 = cos^2x(tanx + 1)^2

cos 2x = root3/2, (Interval: 0 < x < pi) 

solve for x: 2cosx + root3 = 0, (Interval: 0 < x < 2pi)

solve for x: 5cos2x - cosx + 1 = 0, (Interval:  0 < x< 2pi)

Solve equation in given interval: 2cosx^2 x + cosx = 1 (Interval: (0 < x < 2pi)

Verify the identity: csc(2x) = csc(x)/2cos(x)

Solve the equation: 2cos(x) + root3 = 0 

simplify expression: tan(5pi /12) 

 

each time "^2" is used, it means the squared, 

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning