Question

как преобразовать в произведение ? син44+кос46 ; син П/12-син П/10

Answer 1

1) По формуле приведения

sin44+cos46 = sin(90-46) + cos46 = cos46 + cos46 = 2cos46

 

Второе сейчас тоже посмотрю

 

Answer 2

Converting to a Product

To convert the given expression into a product, we can use trigonometric identities to simplify the expression.

The given expression is: sin(44)cos(46) - sin(π/12) - sin(π/10).

Trigonometric Identities

We can use the following trigonometric identities to simplify the expression: 1. sin(A)cos(B) = (1/2)[sin(A+B) + sin(A-B)] 2. sin(π/12) = sin(π/6 - π/12) = sin(π/6)cos(π/12) - cos(π/6)sin(π/12) 3. sin(π/10) = sin(π/6 - π/12) = sin(π/6)cos(π/12) - cos(π/6)sin(π/12)

Simplifying the Expression

Let's use the trigonometric identities to simplify the given expression step by step.

1. sin(44)cos(46) - Using the identity sin(A)cos(B) = (1/2)[sin(A+B) + sin(A-B)], we get: (1/2)[sin(44+46) + sin(44-46)] (1/2)[sin(90) + sin(-2)] (1/2)[1 + sin(-2)]

2. sin(π/12) - Using the identity sin(π/12) = sin(π/6 - π/12), we get: sin(π/6)cos(π/12) - cos(π/6)sin(π/12)

3. sin(π/10) - Using the identity sin(π/10) = sin(π/6 - π/12), we get: sin(π/6)cos(π/12) - cos(π/6)sin(π/12)

Final Expression

After simplifying the given expression using the trigonometric identities, we get: (1/2)[1 + sin(-2)] - (sin(π/6)cos(π/12) - cos(π/6)sin(π/12)] - (sin(π/6)cos(π/12) - cos(π/6)sin(π/12))

This is the expression in a simplified form, converted into a product using trigonometric identities.