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Chapter 10: Q 2. (page 676)

The Double-angle Formula for the sine function is $\sin (2 θ) =_______$ .

Short Answer

Expert verified

The Double-angle Formula for the sine function is $\sin (2 θ) = 2 \sin θ \cos θ$ .

Step by step solution

01

Step 1. Given information

The incomplete statement is "

The Double-angle Formula for the sine function is $\sin (2 θ) =______$ "

02

Step 2. Fill in the blank.

The double-angle formula for the sine function is defined as $\sin (2 θ) = 2 \sin θ \cos θ$ .

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Most popular questions from this chapter

In Problems 31– 42, rotate the axes so that the new equation contains no $x y$ -term. Analyze and graph the new equation. Refer to Problems 21–30 for Problems 31– 40.

localid="1647365908255" $x^{2} + 4 x y + y^{2} - 3 = 0$

Find an equation for each ellipse. Graph the equation by hand.

Vertices at $(2, 5)$ and $(2, - 1)$ :c=2

The graph of a parabola is given. Match graph to its equation.

and equations are,

$A) y^{2} = 4 x C) y^{2} = - 4 x E) {(y - 1)}^{2} = 4 (x - 1) G) {(y - 1)}^{2} = - 4 (x - 1) B) x^{2} = 4 y D) x^{2} = - 4 y F) {(x + 1)}^{2} = 4 (y + 1) H) {(x + 1)}^{2} = 4 (y + 1)$

Graph each function.

$f (x) = \sqrt{16 - 4 x^{2}}$ .

In Problems 31– 42, rotate the axes so that the new equation contains no xy-term. Analyze and graph the new equation. Refer to Problems 21–30 for Problems 31– 40.

$3 x^{2} - 10 x y + 3 y^{2} - 32 = 0$

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