Trigonometry Skills

VIEW ALL SKILLS

Unit Circle
- Degrees
  - Determine trig function values, unit circle, first quadrant, degrees, sin, cos, & tan, exact answers
  - Determine trig function values, unit circle, second quadrant, degrees, sin, cos, & tan, exact answers
  - Determine trig function values, unit circle, third quadrant, degrees, sin, cos, & tan, exact answers
  - Determine trig function values, unit circle, fourth quadrant, degrees, sin, cos, & tan, exact answers
  - Determine trig function values, unit circle, axes, degrees, sin, cos, & tan, exact answers
  - Determine sine values, unit circle, degrees, exact answers
  - Determine cosine values, unit circle, degrees, exact answers
  - Determine tangent values, unit circle, degrees, exact answers
  - Determine trig function values, unit circle, degrees, sin, cos, & tan, exact answers
- Radians
  - Determine trig function values, unit circle, first quadrant, radians, sin, cos, & tan, exact answers
  - Determine trig function values, unit circle, second quadrant, radians, sin, cos, & tan, exact answers
  - Determine trig function values, unit circle, third quadrant, radians, sin, cos, & tan, exact answers
  - Determine trig function values, unit circle, fourth quadrant, radians, sin, cos, & tan, exact answers
  - Determine trig function values, unit circle, axes, radians, sin, cos, & tan
  - Determine sine values, unit circle, radians, exact answers
  - Determine cosine values, unit circle, radians, exact answers
  - Determine tangent values, unit circle, radians, exact answers
  - Determine trig function values, unit circle, radians, sin, cos, & tan, exact answers
  - Given arc length & radius, determine radian measure
- Radians & Degrees
  - Convert degrees to radians
  - Convert radians to degrees
  - Condensed: Convert between degrees & radians
  - Determine trig function values, unit circle, sin, cos, & tan, exact answers
  - Determine trig function values, unit circle, cot, csc, & sec, exact answers
Special Right Triangles
- 30-60-90 Triangles
  - Given 30-60-90 triangle & short leg, determine hypotenuse
  - Given 30-60-90 triangle & short leg, determine long leg
  - Given 30-60-90 triangle & long leg, determine short leg
  - Given 30-60-90 triangle & long leg, determine hypotenuse
  - Given 30-60-90 triangle & hypotenuse, determine short leg
  - Given 30-60-90 triangle & hypotenuse, determine long leg
  - Given 30-60-90 triangle, determine side
- 45-45-90 Triangles
  - Given 45-45-90 triangle, determine hypotenuse
  - Given 45-45-90 triangle, determine leg
  - Given 45-45-90 triangle, determine side
- Application of Special Right Triangles
  - Condensed: Given special right triangle, determine side
  - Determine sides using special right triangle relationships, real-world context
  - Determine angles using special right triangle relationships, real-world context
  - Condensed: Determine angles or sides using special right triangle relationships, real-world context
Trigonometric Ratios & Solving Right Triangles
- Trigonometric Ratios
  - Identify definitions of trig functions
  - Determine relationship between trig ratios of sides of similar triangles, sin, cos, & tan
  - Given special right triangle, determine trig function value, sin, cos, & tan
  - Given special right triangle, determine trig function value, cot, sec, & csc
  - Condensed: Given special right triangle, determine trig function value
  - Given right triangle, determine trig ratio, sin, cos, & tan
  - Given right triangle, determine trig ratio, cot, sec, & csc
  - Condensed: Given right triangle, determine trig ratio
  - Given right triangle, determine missing side & trig ratio, sin, cos, & tan
  - Given right triangle, determine missing side & trig ratio, cot, sec, & csc
  - Condensed: Given right triangle, determine missing side & trig ratio
- Evaluating Trigonometric Functions
  - Given sine, cosine, or tangent & quadrant, determine trig function values
  - Determine trig function values, degrees, calculator expected
  - Determine trig function values, radians, calculator expected
  - Condensed: Determine trig function values, calculator expected
- Solving Right Triangles
  - Solving Sides of Triangles
    - Determine hypotenuse of right triangle using sine
    - Determine leg of right triangle using sine
    - Given side & angle, determine specified side using sine
    - Determine hypotenuse of right triangle using cosine
    - Determine leg of right triangle using cosine
    - Given side & angle, determine specified side using cosine
    - Given long leg of right triangle, determine short leg using tangent
    - Given short leg of right triangle, determine long leg using tangent
    - Given side & angle, determine specified side using tangent
    - Condensed: Given side & angle, determine specified side using sine, cosine, or tangent
  - Solving Angles of Triangles
    - Given hypotenuse & leg of right triangle, determine angle using arcsine
    - Given hypotenuse & leg of right triangle, determine angle using arccosine
    - Given legs of right triangle, determine angle using arctangent
    - Given sides of triangle, determine angle using arcsine, arccosine, or arctangent
  - Application of Right Triangles
    - Given right triangle, determine side, real-world context
    - Given right triangle, determine angle, real-world context
    - Given legs of right triangle, determine angle using arctangent, real-world context
    - Condensed: Given right triangle, determine sides or angles, real-world context
  - Complementary Angle
    - Determine equivalent trig cofunction values, sin & cos
    - Determine equivalent trig cofunction values, tan & cot
    - Determine equivalent trig cofunction values, sec & csc
    - Determine equivalent trig cofunction values from triangles
    - Condensed: Determine equivalent trig cofunction values
Trigonometric Identities
- Determine missing steps in proofs of Pythagorean identities
Law of Sines & Law of Cosines
- Determine sides of triangles using law of sines
- Determine angles of triangles using law of sines
- Determine sides or angles of triangles using law of sines, multiple choice
- Condensed: Determine sides & angles of triangles using law of sines
- Determine sides & angles of triangles using law of sines, real-world context
- Determine sides of triangles using law of cosines
- Determine angles of triangles using law of cosines
- Determine sides or angles of triangles using law of cosines, multiple choice
- Condensed: Determine sides & angles of triangles using law of cosines
- Determine sides & angles of triangles using law of cosines, real-world context
- Condensed: Determine sides & angles of triangles using law of sines or law of cosines, real-world context
- Determine area of triangles using sine formula
Graphing Trigonometric Functions
- Given graph or equation, determine amplitude of trig function
- Given graph or equation, determine midline of trig function
- Given graph or equation, determine period of trig function
- Condensed: Given graph or equation, determine characteristics of trig function
- Determine graph of trig functions, sin, one transformation
- Determine graph of trig functions, sin, multiple transformations
- Determine graph of trig functions, cos, one transformation
- Determine graph of trig functions, cos, multiple transformations
- Determine graph of trig functions, tan & cot
- Determine graph of trig functions, sec & csc
- Identify trigonometric functions to model periodic data, real-world context