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The solution of (81)^(sin^(2)x) +(81)^(c...

The solution of `(81)^(sin^(2)x) +(81)^(cos^(2)x)=30` in `[0, pi//2]` is

A

`pi//4 or pi//2`

B

`pi//6 or pi//3`

C

`pi//4 or 3pi//4`

D

`2pi//3 or 3pi//4`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-TRIGONOMETRIC EQUATIONS-Exercise-II
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  2. In a triangle ABC, angle A gt angle B. If the measures of angle A, ang...

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  3. The solution of (81)^(sin^(2)x) +(81)^(cos^(2)x)=30 in [0, pi//2] is

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  4. No. of solutions of 16^(sin^(2)x)+16^(cos^(2)x)=10,0lexle2pi is

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  5. No. of solutions of |cosx|=sinx,0lexle4pi, is

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  6. If sinalpha+sinbeta=1//2 and cosalpha+cosbeta=sqrt(3)//2 then 3beta+al...

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  7. If sintheta+sqrt(3)costhetage1 then

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  8. Find the number of solution of the equation 1+sinxsin^(2)""(x)/(2)=0 i...

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  9. The set of values of 'x' for which (tan3x-tan2x)/(1+tan3xtan2x)=1 is

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  10. Match the trigonometric equations from List I to solutions in List II ...

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  11. For 0lexle2pi, Match the equations in List I to no. of solutions in Li...

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  12. Observe the following statements Assertion (A) : The general solutio...

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  13. If (1)/(6) sin x, cos x, tan x are in G.P. then x is equal to

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  14. When a is irrational, the number of solutions satisfying the equation ...

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  15. Assertion (A) : if 2sin^(2)((pi)/(2)cos^(2)x)=1-cos(pisin2x), xne(...

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  16. Tan ((pi)/(4)+theta).Tan((3pi)/(4)+theta)=

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  17. If sqrt(3)costheta-sintheta is positive and thetain(-pi,pi) then the v...

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  18. If in a triangle PQR , sin P, sin Q, sin R are in A.P., then

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  19. The sum of the solutions in (0, 2pi) of the equation cos x cos ((pi)/(...

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  20. If 0lexle2pi,0leyle2piandsinx+siny=2 then x+y =

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