NO MARKS ARE GIVEN IF YOUR SOLUTION INCLUDES: e, In, differentiation or integration

Unit 4: Trigonometric Functions - Thinking Task (Advanced Functions grade 12)

1) Use a compound angle formula to develop an equivalent expression for 3 and use that expression to solve the equation 23 + 2 + 1 = 0on the interval 0 2.. Express your answer(s) as exact radians and approximate radians rounded to two decimals where applicable. Show your work. **HINT** express everything in terms of cosx.

2) Prove the following: 1 - 2 sin²/ cos + sin + 2 sin (/2) cos (/2) = cos Show your work for full marks.

Unit 4: Trigonometric Functions - Communication Task(Advanced Functions grade 12)

1) The parent function, () = is transformed according to the following transformations: = 2 [1/2 ( - /3) ] +1. Graph the transformed function on the interval 0 8, label any asymptotes, local max/min, and number each axis. Use a mapping rule (mapping notation) to transform 5 key points of the parent function to the transformed function. Show your mapping rule in the table below.

Graph :

Show Your Work Below :

x cosx