Дано: cos(a) = √2/2
Так как sin(a) = √1 - cos^2(a) = √1 - (√2/2)^2 = √(1 - 2/4) = √(2/4) = √2/2
Так как tg(a) = sin(a)/cos(a) = (√2/2) / (√2/2) = 1
Так как ctg(a) = 1 / tg(a) = 1/1 = 1
Итак, sin(a) = √2/2, tg(a) = 1, ctg(a) = 1.
Дано: cos(a) = √2/2
Так как sin(a) = √1 - cos^2(a) = √1 - (√2/2)^2 = √(1 - 2/4) = √(2/4) = √2/2
Так как tg(a) = sin(a)/cos(a) = (√2/2) / (√2/2) = 1
Так как ctg(a) = 1 / tg(a) = 1/1 = 1
Итак, sin(a) = √2/2, tg(a) = 1, ctg(a) = 1.