Express the sum or difference as a product. If possible, find the exact value of this product. 7x 元 sin 12 sin 12 Expron th

Q: Express as a product.sin 4θ - sin 8θ

A: We know the identity, sinC-sinD=2cosC+D2·sinC-D2        ⋯⋯1

Q: Write the expression as a product. Simplify your answe sin 3x– sin 5.x=

A:

Q: Give the exact answer. To enter the square root of a number, type "sqrt(a)". For example, type…

A: Use summation formula of sine

Q: da 1 sin(ba)

A: Apply u-substitution

Q: Perform the multiplication and use the fundamental identities to simplify. Show all work on a…

A: Formula used  (a - b)² = a² + b² - 2ab sin²x + cos²x = 1 sin2x = 2sinxcosx

Q: Express each product as a sum containing only sines or only cosines. sin(3θ) sin(5θ).

A:

Q: Use the sum-to-product formulas to rewrite the sum or difference as a product. cos x + cos 2x

A: Here we want to write the given sum as a product using sum to product formula.

Q: Express as a product. 1+ sin a

A: 1+sin(α)=(cos(α/2)+sin(α/2))(cos(α/2)+sin(α/2))Explanation:

Q: Write the product as a sum: 18 sin(38z) sin(23z) =

A: The given expression is: 18sin(38z)sin(23z)...(1) Note that the formula used is: 2sin α cos…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.