Study

Trigonometry

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  • use trigonometric identities to transform the left side of the equation into the right side (0 < θ < π/2))
    - - -
  • use trigonometric identities to transform the left side of the equation into the right side (0 < θ < π/2))
    - - -
  • Find (if possible) the supplement of the angle: 11π/12
    π/12
  • use trigonometric identities to transform the left side of the equation into the right side (0 < θ < π/2))
    - - -
  • use the given function value(s) and the trigonometric identities to find the exact value of each indicated trigonometric function.
    2√2 / 3 , 2√2 , 3 , 3
  • evaluate without using calculators: tan (5π/2)
    undefined
  • Find cos θ , csc θ and cot θ (Shaw a written answer!)
    8/17 , 17/15 , -8/15
  • Find Positive coterminal angle for the given angle: -2π/7
    12π/7
  • evaluate without using calculators: tan -π/3
    -√3
  • Find (Positive or negative) coterminal angle for the given angle: 4π/5
    14π/5 , -6π/5
  • Find (if possible) the complement of the angle: π/4
    π/4
  • Find (if possible) the complement of the angle: 3π/4
    none
  • evaluate without using calculators: cos 11π/6
    √3/2
  • Convert to radian (Do not use a calculator): 150°
    5π/6
  • Find sin θ , sec θ and tan θ (Shaw a written answer!)
    15/17 , -17/8 , -15/8
  • use trigonometric identities to transform the left side of the equation into the right side (0 < θ < π/2))
    - - -
  • Find the error and then Find the correct answer:
    π/9
  • use trigonometric identities to transform the left side of the equation into the right side (0 < θ < π/2))
    - - -
  • use the given function value(s) and the trigonometric identities to find the exact value of each indicated trigonometric function.
    1/5 , √6 / 12 , 2√6 , 2√6 / 5
  • Use the given value (sin θ = 1/2) to evaluate each function: cos θ , sin -θ and tan θ ( 0 < θ < π/2))
    √3/2 , -1/2 , 1/√3 = √3 / 3
  • Find the exact values of the six trigonometric functions of the angle θ
    sin θ = 1/3 , cos θ = 2√2/3 , tan θ = √2/4 , sec θ = 3√2/4 , csc θ = 3 , cot θ = 2√2
  • use trigonometric identities to transform the left side of the equation into the right side (0 < θ < π/2))
    - - -
  • evaluate without using calculators: sin -π/6
    -1/2