Q) Find domain of sin^(−1) √(𝑥−1) #shivangmathsacademy #cbsemaths #inversetrigonometry #maths

Q) If 2cos^(−1) 𝑥 = 𝑦,then(A) 0≤𝑦≤𝜋(B) −𝜋≤𝑦≤𝜋(C) 0≤𝑦≤2𝜋(D) −𝜋≤𝐲 ≤ 0 #shivangmathsacademy

The simplest form of tan^(−1) [(√(1+x)−√(1−x))/(√(1+x)+√(1−x))] is (a π/4−x/ #cbsemaths #maths

inverse matrix #matrix #linearalgebra #math #mathedit #fyp | Math

Q) If 𝑓(𝑥)={(sin𝑥/𝑥+cos𝑥, 𝑥≠0 𝑘, 𝑥=0) is continuous at 𝑥=0, then the value of 𝑘 is :

Q) Find the domain of 𝑝(𝑥)=sin^(−1) (1−2𝑥^2 ). Hence,find the value of 𝑥 for which p(𝑥)=𝜋/6.

Q) Domain of 𝑓(𝑥)=cos^(−1) 𝑥+sin𝑥 is(A) 𝑅(B) (−1,1)(C) [−1,1](D) 𝜙