Inverse trigonometric functions (HSC SSCE Mathematics Extension 1): Quizzes

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Inverse Trigonometric Functions
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What is the range of arcsin(x)?

[-π/2, π/2]

What is the domain of arccos(x)?

[-1, 1]

What is arcsin(1/2)?

π/6

What is the symmetry property of arcsin?

sin⁻¹(-x) = -sin⁻¹(x)

What is the derivative of arcsin(x)?

1/√(1-x^2)

What is the range of arctan(x)?

(-π/2, π/2)

What is arccos(-1)?

π

Which property correctly describes the function arccos(x)?

Even function

What is tan(cos⁻¹(1/3))?

√8

What is the equation for arctan?

y = tan⁻¹(x)

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