Finer grained standards that are part of this one
Use special triangles to determine the values of sine, cosine, and tangent for π/3, π/4, and π/6. Apply special right triangles to the unit circle and use them to express the values of sine, cosine, and tangent for x, π + x, and 2π – x in terms of their values for x, where x is any real number.
Solve real-world problems with and without technology that can be modeled using right triangles, including problems that can be modeled using trigonometric ratios. Interpret the solutions and determine whether the solutions are reasonable.
Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an auxiliary line. Use the formula to find areas of triangles.
Explain and use the relationship between the sine and cosine of complementary angles.
Prove the Laws of Sines and Cosines and use them to solve problems.
Understand and apply the Laws of Sines and Cosines to solve real-world and other mathematical problems involving right and non-right triangles.