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Inverse Trigonometric Functions Quiz

Class XII
Mathematics
Inverse Trigonometric Functions
12 questions
HARD

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Preview questions

1. What is the range of the function sin^(-1)(x)?

0 to π · -π/2 to π/2 · -π to π · 0 to 2π

2. Which of the following is the domain of cos^(-1)(x)?

-1 to 1 · 0 to 1 · -π/2 to π/2 · 0 to 2π

3. The derivative of tan^(-1)(x) is:

1/(1+x^2) · 1/x · 1/(x^2+1) · x/(x^2+1)

4. What is the value of sin^(-1)(1)?

π/2 · 0 · π · 1

5. If y = cos^(-1)(x), then what is the value of sin(y)?

√(1-x^2) · x · 1-x · 0