[hline" (2) "," Four numbers are in the ratio "1:2:3:4." Their "],[" sum is "16." The sum of the first and fourth "],[1:2:3:4,5(y+1)(7)],[1:2:3:4,5],[1:,3:4,5],[,pi sin(pi+pi pi),1],[,(1)5,(28)/((4)80)],[,(3)10,]

The Range of the function y=((cos^(-1)(3x-1))/(pi)+1)^(2)(1)[1,4](2)[0,pi](3)[1,pi](4)[0,pi^(2)]

The number of solutions of the equation sin^2x+1=cosxAAx in [0,pi) is 0 2.1 3. 2 4. 3 5. 4

[" The range of the function "f(x)=sin^(-1)((sqrt(1+x^(4)))/(1+5x^(10)))" is "],[[[-(pi)/(2)*(pi)/(2)]],[0[(pi)/(3)*(pi)/(2))],[0(0,(pi)/(2)]]]

If K=sin^(-1)(sin16) then sin^(-1)(sin(K-5 pi+23)) is equal to "],[7-2 pi],[2 pi-7],[3 pi-9],[9-3 pi]

Simplify cos^-1(3/5cosx + 4/5 sin x), x in (-(2pi)/(3) , (pi)/(4))

If 4cos^(2)theta=3 then theta =---- 1) (pi)/(6),(5 pi)/(6) 2) (pi)/(4),(3 pi)/(4) 3) (pi)/(3),(2 pi)/(3) 4) +-(pi)/(2)

The possible values of theta in (0, pi) such that sin (theta) + sin (4 theta) + sin (7 theta) = 0 are (1) (2 pi) / (9), (i) / (4 ), (4 pi) / (9), (pi) / (2), (3 pi) / (4), (8 pi) / (9) (2) (pi) / (4), (5 pi ) / (12), (pi) / (2), (2 pi) / (3), (3 pi) / (4), (8 pi) / (9) (3) (2 pi) / (9 pi) ), (pi) / (4), (pi) / (2), (2 pi) / (3), (3 pi) / (4), (35 pi) / (36) (4) (2 pi ) / (9), (pi) / (4), (pi) / (2), (2 pi) / (3), (3 pi) / (4), (8 pi) / (9)

The possible values of theta in (0,pi) such that sin (theta) + sin (4theta) + sin(7theta) = 0 are (1) (2pi)/9 , i/4 , (4pi)/9, pi/2, (3pi)/4 , (8pi)/9 (2) pi/4, (5pi)/12, pi/2 , (2pi)/3, (3pi)/4, (8pi)/9 (3) (2pi)/9, pi/4 , pi/2 , (2pi)/3 , (3pi)/4 , (35pi)/36 (4) (2pi)/9, pi/4, pi/2 , (2pi)/3 , (3pi)/4 , (8pi)/9