CBSE Questions for Class 11 Engineering Maths Trigonometric Functions Quiz 16 - MCQExams.com

If sinα+sinβ=12sinα+sinβ=12 and cosα+cosβ=32cosα+cosβ=32 then 3β+α=3β+α=
  • 0o0o
  • 60o60o
  • 120o120o
  • 90o90o
The value of cscπ133secπ18cscπ133secπ18 is a 
  • Surd
  • Rational which is not integral
  • Negative integer
  • Natural number
The number of solution of the equation x3+2x2+5x+2cosx=0in[0,2π]x3+2x2+5x+2cosx=0in[0,2π] is
  • 00
  • 11
  • 22
  • 33
 tan2θtan2θ1+csc2θsec2θcsc2θ=1sin2θcos2θtan2θtan2θ1+csc2θsec2θcsc2θ=1sin2θcos2θ.
  • True
  • False
sec2(Tan12)+Cosec2(Cot13)=sec2(Tan12)+Cosec2(Cot13)=
  • 5
  • 10
  • 15
  • 20
1cosecθ+cotθ1sinθ=1sinθ1cosecθcotθ1cosecθ+cotθ1sinθ=1sinθ1cosecθcotθ
  • True
  • False
If y = acosx + bsinx then find the maximum value of y
  • a2+b2a2+b2
  • a2+b2a2+b2
  • a+b2a+b2
  • a2+b22a2+b22
The value of 9r=0sin2πr18isequalto9r=0sin2πr18isequalto 
  • 9292
  • 7272
  • 5
  • None of these
If cscθ=x2y2x2+y2cscθ=x2y2x2+y2 where xx and yy are two unequal non-zero real numbers, then the number of real values of θ is 
  • 0
  • 1
  • 2
  • infinite
n1r=1cos2(rπn)=?
  • n2
  • n22
  • n12
  • n24
If sinx+sin2x=1, then value of cos2x+cos4x is
  • 1
  • 2
  • 1.5
  • none of these
If cosθp=sinθq, then psec2θ+qcosec2θ is equal to 
  • p
  • q
  • qp
  • none of these
The value of 10r=1cos3rπ3=?
  • 18
  • 78
  • 98
  • None of the above
If x+y=2π3andcosx+cosy=32,thenx,yisequalto 
  • π3,π6
  • π2,π6
  • π4,π3
  • no solution
1+cosx1cosx 
  • 1+cosx1cosx
  • cosecx+cotx
  • cosecxcotx
  • cosecx
If f(x)=cos2x+sin4xsin2x+cos4x for xR then f(2002)=
  • 1
  • 2
  • 3
  • 4
If Tn=(sinnθ+cosnθ),thenforpermissiblevaluesofθT5T3T7T5 is always equal to 
  • T1T3
  • T2T4
  • T5T7
  • T3T7
The smallest value of 0 satisfying the equation 3(cot0+tan0)=4 is 
  • 2x/3
  • π/3
  • π/6
  • π/12
The number of real values of x such that  (2x+2x2cosx)(3x+π+3xπ+2cosx)(5πx2cosx+5xπ)=0,is 
  • 1
  • 2
  • 3
  • infinite
The number of solutions of the equation sin (πx23)=x223x+4 is
  • 0
  • 2
  • 1
  • none of these
Find the fix point through which the line (2cosΘ+3sinΘ)x+(3cosΘ5sinΘ)y(5cosΘ2sinΘ)=0 passes for all values of Θ-
  • (0,0)
  • (1,1)
  • (2,1)
  • None of these
The principal solutions of secx=23   are _________
  • π3,||π6
  • π6,11π6
  • π4,||π4
  • π6,||π4
tanθ1cotθ+cotθ1tanθ is equal to 
  • 1+tanθ+cotθ
  • 1tanθcotθ
  • 1+tanθcotθ
  • none of these
cos4Θsin4Θ is equal 
  • 1tan2Θ1+tan2Θ
  • 2cos2Θ1
  • 12sin2Θ
  • sin2Θcos2Θ
32 sin615048sin4150+18sin2150=
  • 1
  • 2
  • 3
  • -1
Choose the correct answer.
(1+tan2θ)sin2θ=
  • tan2θ
  • cot2θ
  • sin2θ
  • cos2θ
The number of solutions of the equation sin(9x)+sin(3x)=0 in the closed interval [0,2π] is 
  • 7
  • 13
  • 19
  • 25
If secA=a+(14a) , then sec A + tan A is equal to 
  • 2aor12a
  • aor1a
  • 2aor1a
  • aor12a
If sin1x+sin1y+sin1z=3π/2 then the value of
x100+y100+z1003x101+y101+z101 is
  • 0
  • 1
  • 2
  • 3
Indicate the relation which is true 
  • tan|tan1x|=|x|
  • cot|cot1x|=x
  • tan1|tanx|=|x|
  • sin|sin1|=|x|
0:0:1


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