Algebra II rd 3 Grading Period (10 days) Power Objectives: Academic Vocabulary: Interpret functions that arise in applications in terms of the amplitude tangent context and analyze functions using different central angle unit circle cosine Law of Cosines representations. (P.O. #7) cycle Law of Sines Extend the domain of trigonometric functions using the unit midline Trigonometric ratios circle, model periodic phenomena with trigonometric period for a right triangle functions and prove and apply trigonometric identities. periodic function cosecant (P.O. #10) phase shift cosine radian cotangent sine reference angle Trigonometry Enduring Understandings: Essential Questions: How can you model periodic behavior? The measure of an angle in standard position is the input for If you know the value of sinϴ , how can you find cosϴ, two important functions. The outputs are the coordinates tanϴ, cscϴ, secϴ, and cotϴ ? (called cosine and sine) of the point on the terminal side of How do you determine the sign of the trig functions? the angle that is 1 unit from the origin. How does the unit circle relate to the trig functions? An angle with a full circle rotation measures 2π radians. An How can you use the unit circle to determine the exact angle with a semicircle rotation measures π radians. values of the trig functions? See below for more enduring understandings. How do the trigonometric functions relate to the trigonometric ratios for a right triangle? Enduring Understandings: The cosine function corresponds with the x-coordinate of the point where the terminal side of the angle intersects the unit circle. The sine function corresponds with the y-coordinate of the point where the terminal side of the angle intersects the unit circle. The sine and cosine functions can be used to determine the tangent function and the reciprocal trigonometric functions, cscϴ, secϴ, and cotϴ. If you know the measures of enough parts of a triangle, you can solve the triangle. .