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Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions - Question 1

Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): sin^{-1}(sin(2π/3)) = 2π/3

Reason (R): sin^{ -1}(sin θ) = θ, if q ∈ [(-π)/2, π/2]

Detailed Solution for Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions - Question 1

Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions - Question 2

Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): Principal value of cos^{–1}(1) is π

Reason (R): Value of cos 0° is 1

Detailed Solution for Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions - Question 2

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Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions - Question 3

Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): Range of tan^{–1}x is [(-π/2, π/2)]

Reason (R): Domain of tan^{–1}x is R.

Detailed Solution for Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions - Question 3

Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions - Question 4

Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.

Assertion (A): Range of cot^{–1} x is (0, π)

Reason (R): Domain of tan^{–1} x is R.

Detailed Solution for Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions - Question 4

Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions - Question 5

Assertion (A): Principal value of sin^{-1}(1/√2) is π/4

Reason (R): Principal value of cot^{-1}(-1/√3) is π/3

Detailed Solution for Test: Inverse Trigonometric Functions- Assertion & Reason Type Questions - Question 5

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