Trigonometry

Convert 18° to radians
1. π/4 radian
2. π/3 radian
3. π/5 radian
4. π/10 radian
Find the length of an arc of a circle of radius 5 cm subtending a central angle measuring 15°.
1. 5π/12 cm
2. 5π cm
3. 5π/4 cm
4. 4π/5 cm
If the arcs of same lengths in two circles subtend central angles 30◦ and 80◦
, find the ratio of their radii.
1. 1:2
2. 3:8
3. 8:3
4. None
Find the value of sin 150
1. 2/3
2. 1/2
3. 0
4. None
Find the value of cos 135◦
1. 1/√2
2. 3/√2
3. 1
4. 0
Find the value of sin 765◦
1. 1/√2
2. 3/√2
3. 1
4. 0
If sin x = 4/5 ( in I quadrant ) and cos y = −12/13 ( in II quadrant), then
sin(x − y),
1. 63/65
2. −16/65.
3. −63/65
4. 16/65
Find the value of sin 2θ, when sin θ = 12/13, θ lies in the first quadrant.
1. 169/120
2. 120/165.
3. 120/169.
4. Nonecot2α
sin20°sin40°sin60°sin80°=
1. -3/16
2. 5/16
3. 3/16
4. -5/16
Find the value of sin 15°
1. (√3-1)/(√2)
2. (√3-1)/(2√2)
3. (√3)/(2√2)
4. None
Find the value of sin 31π/3 .
1. √3
2. 2/√3
3. √3/2
4. 0
Find the value of cos (–1710°).
1. 1
2. 2
3. 3
4. 0
Find the radius of the circle in which a central angle of 60° intercepts an
arc of length 37.4 cm
1. 38.7 cm
2. 35.7 cm
3. 35.8 cm
4. 0
If sec4θ−sec2θ=2, then the general value of θ is
1. (2n+1)π/4
2. (2n+1)π/10
3. nπ+π/2 or nπ/5 + π/10
4. None
The solution set of (5+4cosθ)(2cosθ+1)=0in the interval [0,2π] is
1. {π/3,2π/3}
2. {π/3,π}
3. {2π/3,4π/3}
4. {2π/3,5π/3}
– 2sin x sin y =
1. cos ( x + y) + cos ( x – y)
2. cos (x + y) – cos (x – y)
3. sin (x + y) + sin (x – y)
4. None
If in a triangle ABC, sinA/4=sinB/5=sinC/6, then the value of cosA+cosB+cosCis equal to
1. 69/48
2. 96/48
3. 48/69
4. None
2sin x cos y=
1. cos ( x + y) + cos ( x – y)
2. cos (x + y) – cos (x – y)
3. sin (x + y) + sin (x – y)
4. sin (x + y) – sin (x – y)
Convert 6 radians into degree measure
1. 333° 18′ 11″ approximately
2. 340° 28′ 11″ approximately
3. 343° 38′ 11″ approximately
4. None
If x=sin130cos80,y=sin80cos130,z=1+xy,which one of the following is true
1. x>0,y>0,z>0
2. x>0,y<0,0<z<1
3. x>0,y<0,z>1
4. x<0,y<0,0<z<1
2cos x cos y =
1. cos ( x + y) + cos ( x – y)
2. cos (x + y) – cos (x – y)
3. sin (x + y) + sin (x – y)
4. sin (x + y) – sin (x – y)
2sin x cos y=
1. cos ( x + y) + cos ( x – y)
2. cos (x + y) – cos (x – y)
3. sin (x + y) + sin (x – y)
4. sin (x + y) – sin (x – y)
2 cos x sin y =
1. cos ( x + y) + cos ( x – y)
2. cos (x + y) – cos (x – y)
3. sin (x + y) + sin (x – y)
4. sin (x + y) – sin (x – y)

Trigonometry

Quiz