First, convert the angle to radians:
22 degrees 30 minutes = 22 + 30/60 = 22.5 degrees22.5 degrees * (π/180) ≈ 0.3927 radians
Now, substitute this angle into the equation:
1 - 2sin^2(0.3927)1 - 2sin^2(0.3927)1 - 2(sin(0.3927))^21 - 2(0.3827)^21 - 2(0.1506)1 - 0.3012≈ 0.6988
Therefore, the result is approximately 0.6988.
First, convert the angle to radians:
22 degrees 30 minutes = 22 + 30/60 = 22.5 degrees
22.5 degrees * (π/180) ≈ 0.3927 radians
Now, substitute this angle into the equation:
1 - 2sin^2(0.3927)
1 - 2sin^2(0.3927)
1 - 2(sin(0.3927))^2
1 - 2(0.3827)^2
1 - 2(0.1506)
1 - 0.3012
≈ 0.6988
Therefore, the result is approximately 0.6988.