Q) If 𝑠𝑖𝑛 𝑐𝑜𝑡^(−1) (𝑥+1)]=𝑐𝑜𝑠(tan^(−1) 𝑥), 𝑡ℎ𝑒𝑛 𝑓𝑖𝑛𝑑 𝑥.#class12maths #shivang

Draw the graph of 𝑓(𝑥)=𝑠𝑖𝑛^(−1) 𝑥, 𝑥∈[−1/√2, 1/√2]. Also, write range of f(x). #trigonometry

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

Q) The function 𝑓 defined by 𝑓(𝑥)={ (𝑥,f 𝑥≤1 5, if 𝑥= 1 is not continuous at(A) x=0(B) 𝑥

Q) Simplify: 𝐜𝐨𝐬^(−𝟏) 𝐱+𝐜𝐨𝐬^(−𝟏) [𝐱/𝟐+√(𝟑−𝟑𝐱^𝟐 )/𝟐]; 𝟏/𝟐≤𝐱≤𝟏 #cbsemaths #maths

Q) If 𝑓(𝑥)={ ((𝑥^2−4𝑥−5)/(𝑥+1), 𝑥≠−1 𝑘,&𝑥=−1 is continuous at 𝑥=−1, then the value of 𝑘 i

Q) If 𝑓(𝑥)={((1−sin^3 𝑥)/(3cos^2 𝑥), for 𝑥≠𝜋/2 𝑘, for 𝑥=𝜋/2) is continuous at 𝑥=𝜋/2, t

Q) Show that the function 𝑓(𝑥)={(cos𝑥/(−𝑥+𝜋/2), 𝑥≠𝜋/2 1, 𝑥=𝜋/2 is continuous at x=𝜋/2.