| Pre-Calculus 3126 | |||
| Chapter 6 - Analytical Trigonometry | |||
| Vocabulary: inverse functions; identity; sum and difference of angles; solutions of trig equations | |||
| Writing Prompts: A. In a paragraph, discuss what it means to "verify" an identity. B. Describe the difference between verifying an identity and solving an equation. | |||
| Code | LE's & SPI's | Fundamental Course Skills | Sample Assignment |
| S | SPI 3.6 Solve trigonometric equations and inequalities either algebraically or using graphing technology. | Find an approximate value of the inverse sine, cosine, and tangent function using a calculator. | 2 Days ~ 6.1 p. 468 #1-43 odd |
| S | SPI 3.5 Find values of inverse trigonometric functions,applying appropriate domain and range restrictions. | Find an exact value of the inverse sine, cosine, and tangent function. | |
| S | SPI 3.6 Solve trigonometric equations and inequalities either algebraically or using graphing technology. | Find the approximate value of the inverse secant, cosecant, and cotangent function using a calculator. | 2 Days ~ 6.2 p. 474-475 #3-51 (3rds) |
| S | SPI 3.5 Find values of inverse trigonometric functions,applying appropriate domain and range restrictions. | Find the exact value of the inverse secant, cosecant, and cotangent function. | |
| S | SPI 3.4 Use graphs to develop and verify trigonometric identities. | Establish identities. | 2 Days ~ 6.3 p. 480-481 #3-75 (3rds) and Supplemental Problems |
| S | SPI 3.4 Use graphs to develop and verify trigonometric identities. | Use sum and difference formulas to find exact values. | 1 Day ~ 6.4 p. 491-492 #3-30(3rds), 35-79(5ths) |
| S | SPI 3.4 Use graphs to develop and verify trigonometric identities. | Use sum and difference formulas involving inverse trigonometric functions. | |
| S | SPI 3.4 Use graphs to develop and verify trigonometric identities. | Use double-angle formulas to find exact values. | 1 Day ~ 6.5 p. 501-502 #3-21 (3rds), 30-60 (5ths) |
| S | SPI 3.4 Use graphs to develop and verify trigonometric identities. | Use half-angle formulas to find exact values. | |
| S | SPI 3.4 Use graphs to develop and verify trigonometric identities. | Express products as sums and vice-versa. | 1 Day ~ 6.6 p. 505-506 #1-20 (4ths) |
| S | SPI 3.6 Solve trigonometric equations and inequalities either algebraically or using graphing technology. | Solve equations involving a single trigonometric function. | 2 Days ~ 6.7 p. 511 #1-41 and Supplemental Problems |
| S | SPI 3.6 Solve trigonometric equations and inequalities either algebraically or using graphing technology. | Solve trigonometric equations quadratic in form. | |
| S | SPI 3.6 Solve trigonometric equations and inequalities either algebraically or using graphing technology. | Solve trigonometric equations using identities. | 3 Days ~ 6.8 p. 518-519 #3-36 (3rds), 45-54 (3rds) |
| S | SPI 3.6 Solve trigonometric equations and inequalities either algebraically or using graphing technology. | Solve trigonometric equations using a graphing utility. | |
| Chapter Review | 1 Day | ||
| This chapter should take 17 days without the labs and test. | |||
| Lab 8 ~ Interactive Mathematics "Using Trig. Equations" | |||