If `"sin" x = lambda` has exactly one solution in `[0, 9 pi//4]` then the number of values of `lambda`, is

If the equation cos (lambda "sin" theta) = "sin" (lambda "cos" theta) has a solution in [0, 2pi] , then the smallest value of lambda , is

If the equation cos (lambda "sin" theta) = "sin" (lambda "cos" theta) has a solution in [0, 2pi] , then the smallest value of lambda , is

If the equation sin^(-1)(x^2+x +1)+cos^(-1)(lambda x+1)=pi/2 has exactly two solutions, then the value of lambda is

If the equation sin^(-1)(x^(2)+x+1)+cos^(-1)(lambda x+1)=(pi)/(2) has exactly two solutions,then the value of lambda is

If the equation sin^(-1)(x^2+x+1)+cos^(-1)(lambda x+1)=pi/2 has exactly two solutions for lambda in [a , b] , then the value of a+b is

If the equation sin^(-1)(x^2+x+1)+cos^(-1)(lambda x+1)=pi/2 has exactly two solutions for lambda in [a , b] , then the value of a+b is

If the equation sin^(-1)(x^2+x+1)+cos^(-1)(lambda+1)=pi/2 has exactly two solutions for lambda in [a , b] , then the value of a+b is

If the equation sin^(-1)(x^(2)+x+1)+cos^(-1)(lambda+1)=(pi)/(2) has exactly two solutions for lambda in[a,b], then the value of a+b is

If the equation sin^(-1)(x^(2)+x+1)+cos^(-1)(lambdax+1)=pi/2 has exactly two solutions for lambda in [a, b) , then the value of a + b is