1.sin kuadrat X= 3per4 2.tan X = cot X 3.cot X+tanX= 2 sec X
subebe
1. sin²x = 3/4 sin x = + 1/2 x √3 sin x = 1/2 x √3 sin x = sin 60 x = 60, 120 sin x = -1/2 x √3 sin x = sin 240 x = 240, 300 HP = { 60,120,240,300} 2. tan x = cot x sinx / cos x = cos x / sin x sin²x = cos² x x = 45, 135, 225, 315 3. cot x + tan x = 2 sec x cosx/sin x + sinx/cos x = 2 sec x (cos²x + sin ²x) / sin x cos x = 2 sec x 1 / sin x cos x = 2/ cosx 1/ sin x cos x = 2/cos x 1/2 = sin x x = 30, 150
sin x = + 1/2 x √3
sin x = 1/2 x √3
sin x = sin 60
x = 60, 120
sin x = -1/2 x √3
sin x = sin 240
x = 240, 300
HP = { 60,120,240,300}
2. tan x = cot x
sinx / cos x = cos x / sin x
sin²x = cos² x
x = 45, 135, 225, 315
3. cot x + tan x = 2 sec x
cosx/sin x + sinx/cos x = 2 sec x
(cos²x + sin ²x) / sin x cos x = 2 sec x
1 / sin x cos x = 2/ cosx
1/ sin x cos x = 2/cos x
1/2 = sin x
x = 30, 150