sin a = 40/41
cos a = √(1 - (40 / 41)²) = √((41² - 40²) / 41²) = √((1681 - 1600) / 41²) = √(81 / 41²) = 9/41
tg a = sin a/cos a = (40/41) / (9/41) = 40/9
ctg a = 1/tg a = 1 / (40/9) = 9/40
sin a = 40/41
sin²a + cos²a = 1 =>cos²a = 1 - sin²a, cos a = √(1 - sin²a)cos a = √(1 - (40 / 41)²) = √((41² - 40²) / 41²) = √((1681 - 1600) / 41²) = √(81 / 41²) = 9/41
tg a = sin a/cos a = (40/41) / (9/41) = 40/9
ctg a = 1/tg a = 1 / (40/9) = 9/40