Flashcards
Trigonometry
Flashcards do conjunto (20)
- 1What method allows us to know whether a trigonometric value is positive?CAST method (cos in bottom right region, all in top right, sine in top left, tan in bottom left)
- 2How do we work out sinθ?Opposite / Hypotenuse
- 3How do we work out cosθ?Adjacent / Hypotenuse
- 4How do we work out tanθ?Opposite / Adjacent
- 5On a circular function diagram, opposite is sinθ and adjacent is cosθ. What is the trigonometric identity is related to this fact?tanθ ≡ sinθ / cosθ
- 6a^2 + b^2 = c^2 , and sinθ is opposite and cosθ is adjacent. What trigonometric identity is related to this fact?sin^2θ + cos^2θ ≡ 1
( same as (sinθ)^2 + (cosθ)^2 ≡ 1 ) - 7The graph y=tan(x) is the same as.....sin(x) / cos(x)
Rational function, has asymptotes - 8Diagram for equal trig values :
- 9What is the equal acute value of sin120 and why?sin60, as add to 120 to make 180 and in top left section, sin is positive (due to CAST)
- 10What is the equal acute value of cos120 and why?-cos60, as adds to 120 to make 180 and stays negative in top left section due to CAST
- 11What is the equal acute value of tan120 and why?-tan60, as adds to 120 to make 180 and stays negative in top left section due to CAST
- 12Due to reflective symmetry on a cos graph, cos(x) is also equal to.....cos(-x)
- 13Due to rotational symmetry on a sine graph, sin(-x) is also equal to.....-sin(x)
- 14If we are struggling with find an equal acute trig value, we should....Draw a diagram
- 15tan230 is also equal to the acute trig value of.....tan50
- 16cos480 is also equal to the acute trig value of.....-cos60
- 17sin(-150) is also equal to the acute trig value of.....-sin30
- 18sin5080 is also equal to the acute trig value of.....sin40
- 19Where do the sine and cos graphs start?Sine at 0
Cos at 1 - 20Where is the first point where the sine and cos graphs intercept the x axis?Sine at 180 degrees
Cos at 90 degrees