THE INVERSE TRIGONOMETRIC FUNCTIONS FUNCTION ...

FUNCTION

THE INVERSE TRIGONOMETRIC FUNCTIONS EQUIVALENCE

RANGE

𝑦 = sin−1 𝑥 = arcsin 𝑥

sin 𝑦 = 𝑥

𝜋 𝜋 𝑦 ∈ [− , ] 2 2

𝑦 = tan−1 𝑥 = arctan 𝑥

tan 𝑦 = 𝑥

𝜋 𝜋 𝑦 ∈ (− , ) 2 2

𝑦 = csc −1 𝑥 = arccsc 𝑥

csc 𝑦 = 𝑥

𝜋 𝜋 𝑦 ∈ [− , 0) ∪ (0, ] 2 2

FUNCTION

THE INVERSE TRIGONOMETRIC FUNCTIONS EQUIVALENCE

RANGE

𝑦 = cos −1 𝑥 = arccos 𝑥

cos 𝑦 = 𝑥

𝑦 ∈ [0, 𝜋]

𝑦 = sec −1 𝑥 = arcsec 𝑥

sec 𝑦 = 𝑥

𝜋 𝜋 𝑦 ∈ [0, ) ∪ ( , 𝜋] 2 2

𝑦 = cot −1 𝑥 = arccot 𝑥

cot 𝑦 = 𝑥

𝑦 ∈ (0, 𝜋)