SAT Subject Test in Math II

The SAT Subject Test in Math II assesses students' understanding of advanced mathematical concepts and their ability to apply these concepts to solve problems.

Algebraic ManipulationFunctions and GraphsCoordinate Geometry
Complex NumbersTrigonometryLogarithmic and Exponential Functions
Modeling Real-World DataOptimization in Everyday LifeMath in Technology and Engineering
Time Management and PrioritizationSmart Use of the Calculator
Algebraic Manipulati...Functions and GraphsCoordinate GeometryComplex NumbersTrigonometryLogarithmic and Expo...Modeling Real-World ...Optimization in Ever...Math in Technology a...Time Management and ...Smart Use of the Cal...
Advanced Topics

Trigonometry

Measuring Angles and Triangles

Trigonometry studies the relationships between the angles and sides of triangles, especially right triangles.

Key Concepts

  • Basic functions: sine, cosine, tangent.
  • Pythagorean identity: \( \sin^2\theta + \cos^2\theta = 1 \).
  • Graphs of trig functions and their transformations.
  • Unit circle and radian measure.

Why It's Useful

Trigonometry is essential for analyzing waves, circular motion, and periodic phenomena.

Tips

  • Memorize common angle values (like 30°, 45°, 60°).
  • Use the unit circle for reference.

Real-World Connection

Trigonometry is used in architecture, navigation, and sound engineering.

Examples

  • If \( \sin\theta = 0.5 \), then \( \theta = 30^\circ \) or \( 150^\circ \).

  • The graph of \( y = \sin x \) oscillates between -1 and 1.

In a Nutshell

Apply trigonometric functions and identities to solve for unknowns in triangles and model cycles.

Next
Logarithmic and Exponential Functions