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) Evaluate sin[cos^(−1) cos(7𝜋/6)] #shivangmathsacademy #cbsemaths #class12maths #maths

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Q) Check whether function f(x) defined as f(𝑥)={((|𝑥−3|)/(2(𝑥−3)), 𝑥=3 (𝑥−6)/6,𝑥≥3) Is

JThe number of points of discontinuity f(x) = {(|𝐱|+𝟑, 𝐢𝐟 𝐱≤−𝟑 −𝟐𝐱, 𝐢𝐟 −𝟑=𝐱=𝟑 𝟔𝐱+𝟐,

Find the values of 𝛌 if the function 𝐟(𝐱)={((〖𝐬𝐢𝐧^𝟐 𝛌𝐱)/𝐱^𝟐 , 𝐢𝐟 𝐱≠𝟎 𝟏, 𝐢𝐟 𝐱=𝟎)