Problem 82
Question
Use words to describe the formula for: the sine of double an angle.
Step-by-Step Solution
Verified Answer
The formula for the sine of a double angle is: the sine of twice an angle equals two times the product of the sine of that angle and the cosine of that angle.
1Step 1: Identify the trigonometric identity
The formula for the sine of a double angle is given by: \( \sin{2\Theta} = 2\sin{\Theta}\cos{\Theta} \)
2Step 2: Break down the formula in words
The formula states that the sine of twice an angle equals two times the product of the sine of the angle and the cosine of the angle.
Other exercises in this chapter
Problem 82
Use words to describe the formula for each of the following: the cosine of the sum of two angles.
View solution Problem 82
Use an identity to solve each equation on the interval \([0,2 \pi)\) $$ \sin 3 x \cos 2 x+\cos 3 x \sin 2 x=1 $$
View solution Problem 83
Use words to describe the formula for each of the following: the sine of the sum of two angles.
View solution Problem 83
Use an identity to solve each equation on the interval \([0,2 \pi)\) $$ \tan x+\sec x=1 $$
View solution