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In the interval [-pi/2,pi/2] the equatio...

In the interval `[-pi/2,pi/2] `the equation `log_(sin theta)(cos 2 theta)=2` has

A

no solution

B

a unique solution

C

two solution

D

infinitely many solution

Text Solution

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The correct Answer is:
B
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ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Single Option Correct Type Questions)
  1. The number of all the possible triplets (a1,a2,a3) such that a1+a2cos(...

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  2. Find dy/dx if 2x+3y=sinx

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  3. In the interval [-pi/2,pi/2] the equation log(sin theta)(cos 2 theta)=...

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  4. If sum(i=1)^(n) cos theta(i)=n, then the value of sum(i=1)^(n) sin the...

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  5. If (sin alpha)^(x)+(cos alpha)^(x) ge 1,0 lt a lt (pi)/(2) then

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  6. The most general values of 'x' for which sin x + cos x ="min"(a in R)...

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  7. Find dy/dx if 2x+3y= siny

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  8. If max{5sin theta+3sin(theta-alpha)}=7 then the set of possible vaues ...

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  9. Find the number of integral value of n so that sinx(sinx+cosx)=n has a...

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  10. Find the number of solutions to sin {x} = cos {x}, where {*} denotes t...

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  11. If a , b in [0,2pi] and the equation x^2+4+3sin(a x+b)-2x=0 has at lea...

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  12. The value of 'a' for which the equation 4cosec^(2)pi(a+x)+a^(2)-4a=0 h...

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  13. If the equation 2 cos x + cos 2 lambda x=3 has only one solution , t...

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  14. Let n be a positive integer such that sin (pi/(2n))+cos(pi/(2n))=(sqrt...

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  15. The number of solution of the equation 5 sec theta -13=12 tan theta ...

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  16. The number of solutions of the equation x^(3)+x^(2)+4x+2sinx=0 in 0 le...

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  17. If tan((pi)/(2) sin theta )= cot((pi)/(2) cos theta ), then sin thet...

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  18. The equation sin x + sin y + sin z =-3 for 0 le x le 2pi , 0 le y l...

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  19. If x= npi+(-1)^(n)alpha , n in I and x=npi+(-1)^(n)beta are the root...

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  20. If tan m theta = tan n theta and general value of theta are in AP,...

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