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

Q) Simplify : sin^(−1) ((sin𝑥+cos𝑥)/√2),−𝜋/4=𝑥=𝜋/4..#class12maths #shivangmathsacademy #cbse

Q) Express 𝐭𝐚𝐧^(−𝟏) (𝐜𝐨𝐬𝐱/(𝟏−𝐬𝐢𝐧𝐱)), (−𝟑𝛑)/𝟐=𝐱=𝛑/𝟐 in the simplest form.#class12

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

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) Find the domain of 𝑓(𝑥)=𝑐𝑜𝑠^(−1) (1−𝑥^2 ). Also, find its range..#class12mathsinhindi

Q) Simplify : tan^(−1) ((cos2𝑥−sin2𝑥)/(cos2𝑥+sin2𝑥)),0=𝑥=𝜋/4..#class12maths #shivangmathsaca