 ## 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
• Determine trig function values, unit circle, axes, radians, sin, cos, & tan
• Determine trig function values, unit circle, radians, sin, cos, & tan, exact answers
• 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