Answer:
sin²x+2cos y is approximately 1.328.
Explanation:
To find the value of sin²x+2cos y, we first need to know the values of sin(x) and cos(y).
Given x = 34°, we can use a calculator to find that sin(x) is approximately 0.5592. Given y = 51°, we can use a calculator to find that cos(y) is approximately 0.6235.
Now we can substitute these values into the expression sin²x+2cos y to get:
sin²x+2cos y = (0.5592)^2 + 2(0.6235) ≈ 1.328
Therefore, sin²x+2cos y is approximately 1.328.