Column I: Function, Column II: Period `f(x)="cos"(|sinx|-|cosx|)` , p. `pi`
`f(x)="cos"(tanx+cotx)cos(tanx-cotx)` , q. `pi/2`
`f(x)=sin^(-1)(sinx)+e^(tanx)` , r. `4/pi`
`f(x)=sin^3xsin3x` , s. `2pi`

Match the column Column I (Function), Column II (Period) p. f(x)=sin^3x+cos^4x , a. pi/2 q. f(x)=cos^4x+sin^4x , b. pi r. f(x)=sin^3x+cos^3x , c. 2pi s. f(x)=cos^4x-sin^4x ,

lim_(x->(pi/2)) (1-sinx)tanx =

Find the period of the following function (i) f(x) =|sinx|+|cosx| (ii) f(x)=cos(cosx)+cos(sinx) (iii) f(x)= (|sinx+cosx|)/(|sinx|+|cosx|)

The function f(x) is defined on the interval [0.1] Then match the following columns Column I: Function, Column II: Domain f(tanx) , p. [2npiddotpi/2,2npi+pi/2],n in Z f(sinx) , q. [2npi,2npi+pi/6]uu[2npi+(5pi)/6,(2n+1)pi],n in Z f(cosx) , r. [2npi,(2n+1)pi],n in Z f(2sinx) , s. [npi,npi+pi/4],n in Z

Let f(x)=e^(cos^-1sin(x+pi/3)) , then

f(x)=cos^2x+cos^2(pi/3 +x)-cosxcos(pi/3 +x) is

Let f(x)=sin^(4)x-cos^(4)x int_(0)^((pi)/(2))f(x)dx =

Examine the differentiability of the function f(x)=|sinx-cosx| at x=(pi)/(4) .

f(x)=sin^2x+cos^4x+2 and g(x)=cos(cosx)+cos(sinx) Also let period f(x) and g(x) be T_1 and T_2 respectively then

Column I, Column II Range of f(x)=sin^(-1)x+cos^(-1)x+cot^(-1)xi s , p. [0,pi/2]uu[pi/2,pi] Range of f(x)= cot^(-1)x+tan^(-1)x+cos e c^(-1)xi s , q. [pi/2,(3pi)/2] Range of f(x)=cot^(-1)x+tan^(-1)x+cos^(-1)xi s , r. [0,pi] Range of f(x)= sec^(-1)x+cos e c^(-1)x+sin^(-1)xi s , s. [(3pi)/4,(5pi)/4]