1) tan−1)(√3)−sec−1(−2)cosec−1(−√2)+cos−1(−12) is equal to A) 45 B) -45 C) 35 D) 0 Answer: Option BExplanation:tan−1)(√3)−sec−1(−2)cosec−1(−√2)+cos−1(−12) = tan−1(√3)−(π−sec−1(−2))−cosec−1(√2)+π−cos−1(12) = π3−(π−π3)−π4+π−π3=2π3−ππ−π4−π3 = −π312π−3π−4π12=−π35π12=−45