AP EAMCET · Maths · Inverse Trigonometric Functions
If , then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
It is given that, ∑k=1ntan-11k2+k+1=tan-1θ Simplifying the above expression we get, ∑k=1ntan-1(k+1)-k1+k(k+1)=tan-1θ ⇒∑k=1ntan-1(k+1)-tan-1k=tan-1θ tan-12-tan-11+tan-13-tan-12+tan-14-tan-13+…+tan-1(n+1)-tan-1n=tan-1θ…
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