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Evaluate cot(cosec⁻¹(5/3) + tan⁻¹(2/3)).

1. 6/17
2. 3/17
3. 4/17
4. 5/17

Correct answer: 6/17

Solution

Write the cosec inverse as a tan inverse, add the angles using the tangent addition formula, and take the cotangent.

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