Most Important Selected Qs for JEE AdvancedMathematicsInverse Trigonometric Functions

If the value of _ r=2 ^ ⁻¹ ( 1 r^2-5 r+7 ) is equal to a b , where a and b are co-prime, then find the value of (a+b) .

Correct answer

Step-by-step solution

aligned _ r=2 ^ ⁻¹ ( (r-2)-(r-3) 1+(r-3)(r-2) )= & _ r=2 ^ ( ⁻¹(r-2)- ⁻¹(r-3) ) = & ⁻¹ 0- ⁻¹(-1) & ⁻¹ 1- ⁻¹ 0 & ⁻¹ 2- ⁻¹ 1 & & & ⁻¹(n-2)- ⁻¹(n-3) S_n= & ⁻¹(n-2)+ 4 S_ = & 2 + 4 = 3 4 aligned

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