Gr12 Mathematics: Ch 4.2 Double Angle Identities

<p>Sum formulas for sine and cosine</p> Signup and view all the answers

<p>sin(2α) = 2 sinα cosα</p> Signup and view all the answers

<p>cos(2α) = 1 - 2 sin²α</p> Signup and view all the answers

<p>3</p> Signup and view all the answers

<p>To derive alternate forms of the cosine double angle formula</p> Signup and view all the answers

<p>2</p> Signup and view all the answers

<p>To provide an alternative form for the cosine double angle formula</p> Signup and view all the answers

<p>sin(2α) = 0 when α = 0</p> Signup and view all the answers

<p>The sum formulas are used to derive the double angle formulas</p> Signup and view all the answers

<p>It provides more flexibility in solving problems</p> Signup and view all the answers

<p>sin(2α) = 2 when α = π/2</p> Signup and view all the answers

<p>The sine double angle formula involves the product of sine and cosine</p> Signup and view all the answers

<p>Simplifying trigonometric expressions</p> Signup and view all the answers

<p>Using the sum formula for sine with α = β</p> Signup and view all the answers

<p>They can be expressed in terms of sine and cosine</p> Signup and view all the answers

<p>To provide flexibility in using the formula in different situations</p> Signup and view all the answers

<p>The sum formulas are used to derive the double angle formulas</p> Signup and view all the answers

<p>They can be used to simplify trigonometric expressions involving double angles</p> Signup and view all the answers

<p>It allows us to express the formulas in terms of sine and cosine</p> Signup and view all the answers

<p>The sine formula involves a product, while the cosine formula involves a sum</p> Signup and view all the answers

<p>Simplifying trigonometric expressions involving double angles</p> Signup and view all the answers