Half-Angle Identities - Page 5

Questions
  • How do you use the half angle identity to find exact value of tan 112.5?
  • If #cscx=2#, 90°<x<180° how do you find sin(x/2), cos(x/2), tan(x/2)?
  • How do you use the half-angle identity to find the exact value of csc [ (7pi) / 8 ]?
  • What is the proof of the half-angle formula?
  • Find the exact value of the expression? #sec(π/3) cos(π/3) - tan(π/6)#
  • What is #2sin(theta/4)-cos(theta/2)# in terms of trigonometric functions of a unit #theta#?
  • How do you find the exact values of cos^2(pi/12) using the half angle formula?
  • How do you simplify #f(theta)=2tan(theta/2)-sin(theta/4)-sec(theta/4)# to trigonometric functions of a unit #theta#?
  • What is #3sin(theta/2)+cot(theta/2)# in terms of trigonometric functions of a unit #theta#?
  • What is #cos(theta/2)-2cot(theta/2)# in terms of trigonometric functions of a unit #theta#?
  • How do you simplify #f(theta)=tan(theta/2)+3cos(theta/4)-cos(theta/4)# to trigonometric functions of a unit #theta#?
  • How do you simplify #f(theta)=-cot(theta/2)+3csc(theta/4)-cos(theta/4)# to trigonometric functions of a unit #theta#?
  • How do you simplify #f(theta)=tan(theta/2)-4sec(theta/4)+sin(theta/4)# to trigonometric functions of a unit #theta#?
  • How do you simplify #f(theta)=3cot(theta/2)+tan(theta/2)-3cos(theta/4)# to trigonometric functions of a unit #theta#?
  • How do you find sin (x/2), given #cos x = -5/8#, with #pi/2 < x <pi#?
  • How do you find the exact values of sin^3(pi/6) using the half angle formula?
  • How do you simplify #f(theta)=sec(theta/4)-sin(theta/4-pi/2)# to trigonometric functions of a unit #theta#?
  • How do you find the exact values of sin^2(pi/6) using the half angle formula?
  • How do you simplify #f(theta)=sec(theta/4)-tan(theta/2+pi/2)# to trigonometric functions of a unit #theta#?
  • How do you use half angle formula to find #tan (5pi)/12#?