Trigonometric Ratios and Their Application
1. If we convert 135° to radian measure, we get 
    A.3π/4     B.3π/2    C.π/4    D.π/2    E.(3+π)/2    
2. 75° in radian measure is
    A.π/75     B.75/π    C.5π/12    D.12π/5    E.π/30    
3.An arc PQ subtends an angle 60° at the centre O of radius 3 cm. The area of the sector POQ is
    A. 270 〖cm〗^2    B. 3/2 〖cm〗^2    C. 3π/2 〖cm〗^2    D. 3π 〖cm〗^2    E. 180 〖cm〗^2
4.A sector of a circle has arc length of 8 cm and the area of 16 cm2,then the radius of the circle
    in cm , is 
    A. 2   B. 3     C.5    D. 48    E. 12
5. OAB is a sector of a circle with centre O, radius 8 cm and a perimeter 22 cm. Then the area
    of sector, in square cm is
    A. 6    B. 28    C. 24    D. 48    E. 12
6. The area , in cm2 , of a circle has the same numerical value as the circumference, in cm, of 
    the same circle. The radius , in cm, is 
    A. 2    B. 1    C.2/π    D.1/π     E.1/2
7. An arc PQ subtends an angle of 120° at the centre of a circle of radius 1 cm. The length of 
    arc PQ is 
    A. 120 cm    B. 60 cm    C. π/6cm    D. 2π/3cm    E.π^2/18 cm
8. If the central angle of a circle of radius 14 cm cuts off an arc of length 28 cm , then the radian
    measure of the angle is 
    A. 2√2    B.2    C.1    D. 4    E. 8π
9. The pendulum on a clock swings th    D. 12/π  inches    E. 24/π  inches
10. The area of a sector of a circle is 143 cm2and the length of the arc of the sector is 11 cm .
    Then the radius , in cm, of the circle is 
    A. 11    B.13/2    C.26    D. 13    E. None of these
11. The figure shows a sector OMN of a circle at centre O with the radius  r  =  6 cm and a 
    perimeter of 16 cm . The area of sector MON = ……… 
    A. 24〖cm〗^2    B. 36〖cm〗^2   C. 15〖cm〗^2    D.12〖cm〗^2    E. 9〖cm〗^2


	
12.An arc BC subtends an angle of 144° at the centre O if a circle of radius 10 cm . Then the 
    length of arc BC is
    A.25/2π    B.25/2 π    C.8/π    D.π/8    E. 8π

13.If sin⁡〖20°=x 〗then cos⁡〖70°〗is
    A.x    B.x^2-1    C. 1-x   D.1 +x    E. √(1-x^2 )
14.If sin θ= 1/3  and θ is acute, then cos θ=……….
    A.√3/2    B.1/2    C.√2/3    D.√8/3    E.2/√3