Honors Pre-Calculus Spring Semester Review

Honors Pre-Calculus Review Chapter 4

• Determine in which quadrant an angle lies.
• Find complementary/supplementary angles for a given angle.
• Sketch an angle in standard position.
• Find coterminal angle(s) for a given angle.
• Convert from degrees to radians and radians to degrees.
• Evaluate trig functions using the unit circle.
• Determine the domain, range, and period of a sin or cos function.
• Find the reference angle for a given angle.
• Determine in which quadrant an angle lies.
• Find the value of the six trig functions, given the value of one or a point on the terminal side.
• Recognize the graphs of the six trig functions.
• Find the amplitude, period, and vertical/horizontal shift given either a graph or equation.
• Sketch a graph of all six trig functions.
• Sketch the graph of a damped trig function.
• Evaluate the inverse trig functions.
• Evaluate compositions of trig functions.
• Recognize the graphs of the inverse trig functions.
• Graph inverse trig functions.
• Word problems including but not limited to right triangle, linear/angular velocity, bearing, and harmonic motion.

Honors Pre-Calculus Review Chapter 5

• Know the fundamental trig identities.
• Use the fundamental trig identities to rewrite and simplify trig expressions.
• Verify trig identities.
• Solve trig equations (including quadratic).
• Use Sum and Difference formulas to evaluate trig functions.
• Use Sum and Difference formulas to verify identites and solve trig equations.
• Use the Double-Angle formulas to evaluate trig functions.
• Use Double-Angle formulas to verify identites and solve trig equations.
• Use the Half-Angle formulas to evaluate trig functions.
• Use Half-Angle formulas to verify identites and solve trig equations.
• Use the Product-to-Sum formulas to evaluate trig functions.
• Use Product-to-Sum formulas to verify identites and solve trig equations.
• Use the Sum-to-Product formulas to evaluate trig functions.
• Use Sum-to-Product formulas to verify identites and solve trig equations.
• Use the Power-Reducing formulas to evaluate trig functions.
• Use Power-Reducing formulas to verify identites and solve trig equations.
• Word problems.

Honors Pre-Calculus Review Chapter 6

• Use the Law of Sines to solve oblique triangles (including the ambiguous case).
• Use the Law of Cosines to solve oblique triangles.
• Find the area of oblique triangles.
• Write the component form of a vector
• Write the linear combination form of a vector.
• Perform basic vector operations.
• Find a unit vector in a given direction.
• Find the direction angle of a vector.
• Find a vector that has a given direction and magnitude.
• Find the dot product of two vectors.
• Find the angle between two vectors.
• Determine if two vectors are orthogonal.
• Write a vector as the sum of two components.
• Plot complex numbers in the complex plane.
• Write complex numbers in trig form.
• Multiply and divide complex numbers written in trig form.
• Use DeMoivre’s Theorem to find powers of complex numbers.
• Find roots of unity.
• Find nth roots of complex numbers.
• Word problems.

Honors Pre-Calculus Review Additional material

• Use parametric equations to model problem situations.
• Word problems involving parametric equations.