The value of cosec(sin⁻¹(-1/2)) - sec(cos⁻¹(-1/2)) is equal to:

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Properties of Inverse Sine Function, Properties of Inverse Cosine Function | PadhAiPro

Question

MCQ (Single)Properties of Inverse Sine FunctionProperties of Inverse Cosine Function

If a = sin⁻¹(√2/2) + cos⁻¹(-1/2) and b = tan⁻¹(√3) - cot⁻¹(-1/√3), then find the value of a + b.

Simplify : cos⁻¹x + cos⁻¹[x/2 + (√(3-3x²))/2]; 1/2 ≤ x ≤ 1

Assertion (A) : cos⁻¹(cos 13π/6) is equal to π/6. Reason (R) : The range of the principal value branch of the function y = cos⁻¹ x is [0, π].

Evaluate : cos⁻¹[cos(-7π/3)]

Assertion (A) : cos⁻¹(cos(13π/6)) is equal to π/6. Reason (R) : The range of the principal value branch of the function y = cos⁻¹ x is [0, π].

Evaluate : sin⁻¹(sin(13π/6)) + cos⁻¹(cos(π/3)) + tan⁻¹(√3)