Odpowiedź:
∝ - kąt ostry , tg∝ = 5
I. obliczę ctg∝
tg∝ = 5 ∧ ctg∝ = 1/tg∝
↓
ctg∝ = 1/5
II.
tg∝ = 5 ∧ tg∝ = sin∝/cos∝
↓
sin∝/cos∝ = 5 ⇒ sin∝ = 5cos∝
III. obliczę cos∝
sin²∝ + cos²∝ = 1 ∧ sin∝ = 5cos∝
↓
(5cos∝)² + cos²∝ = 1
25cos²∝ + cos²∝ = 1
26cos²∝ = 1 /÷ 26
cos²∝ = 1/26 ∧ ∝ - kąt ostry
↓
cos∝ = 1/√26
cos∝ = 1/√26 × √26/√26
cos∝ = √26/26
IV. obliczę sin∝
cos∝ = √26/26 ∧ sin∝ = 5cos∝
↓
sin∝ = 5×√26/26
sin∝ = 5√26/26
