PERFORMANCE TASK #3 PRE-CALCULUS MODULE 13 Second Quarter - First Semester 1. OBJECTIVES: Apply trigonometric identities to find other trigonometric values. 1I. MATERIALS Short bond paper, Calculator, Ballpen III. PROCEDURE A. Activity 4: Simplify at its Best! Use the identities to simplify trigonometric expressions. Show your step-by-step solution. sin 0 sec 0 For example: tane cose 1. coste sine sin 20 cos 20 Solution: 2. sine tane cose Cost Cost sine cos 0 cos 0 sine sino sing 3. tan O(csc 0 - sin 0) (Please read page II of the module to see the step-by-step solution) 4. (sec 0 - tan 0)(sec 0 + tan 0) Show your solution how you get the answer. Read the key answer 5. cot 0 sec Osin 0 section of your module to check if your final answer is correct or not. What matters here is the SOLUTION. B. Activity 5: Give Me My Valuel Show that the equation is an identity. Show your step-by-step solution. 1. (1 + sin 0) (1 + sin0) = cos2 0 tane cose 2. tan 0 cos 0 = sin 0 For example: = 1 sine 3. cot 0 sin 0 = cos 0 Prove that the equation is an identity or TRUE. If not identity. answer NOT IDENTITY and explain why 4. = tan 0 cote Solution: sin 0 1- cos 0 sing 5 tang cose =1 case Cose 1 + cos 0 sine sine sing sine sine Therefore, it is an identity since the simplified equation tane cose is equal to 1. sing (Please read page II of the module to see the step-by- step solution) The solution is important here because this will be your proof to show that it is an identity or NOT. IV.STANDARDS SCORE DESCRIPTION (for table and graph #3) 2 Demonstrate complete understanding of the problem. All requirements of the task are included in response 1 Demonstrate no understanding of the problem. No response/task not attempted