Question

Sin^2 pi/4+sin^2 pi/3?

Answer 1

(√2/2)^2 + (√3/2)^2 = 2/4 + 3/4 = 5/4 = 1,25

Answer 2

To calculate the value of sin^2(pi/4) + sin^2(pi/3), you can use trigonometric identities and the values of sine for these angles.

1. sin(pi/4) = 1/sqrt(2)
2. sin(pi/3) = sqrt(3)/2

Now, calculate the squares of these values:

1. sin^2(pi/4) = (1/sqrt(2))^2 = 1/2
2. sin^2(pi/3) = (sqrt(3)/2)^2 = 3/4

Now, add them together:

sin^2(pi/4) + sin^2(pi/3) = 1/2 + 3/4

To add these fractions, find a common denominator, which is 4:

1/2 + 3/4 = 2/4 + 3/4 = (2 + 3)/4 = 5/4

So, sin^2(pi/4) + sin^2(pi/3) = 5/4.