Question

Sinx=4/5 и siny=3/5 дано, найти sin(x+y)=?

Answer 1

Пошаговое объяснение:

четверть не указана ,,,,,,,,,,

Answer 2

To find sin(x + y) given that sin(x) = 4/5 and sin(y) = 3/5, we can use the trigonometric identity for the sine of a sum:

sin(x + y) = sin(x)cos(y) + cos(x)sin(y)

First, we need to find cos(x) and cos(y) using the Pythagorean identity for sine and cosine:

cos(x) = √(1 - sin^2(x)) cos(y) = √(1 - sin^2(y))

cos(x) = √(1 - (4/5)^2) = √(1 - 16/25) = √(9/25) = 3/5 cos(y) = √(1 - (3/5)^2) = √(1 - 9/25) = √(16/25) = 4/5

Now we can substitute these values back into the formula for sin(x + y):

sin(x + y) = (4/5)(4/5) + (3/5)(3/5) = 16/25 + 9/25 = 25/25 = 1

Therefore, sin(x + y) = 1.