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cos^(-1)\ (cos(2\ cot^(-1)\ (sqrt(2)-1))...

`cos^(-1)\ (cos(2\ cot^(-1)\ (sqrt(2)-1)))`

A

`pi//2`

B

`pi//4`

C

`pi`

D

none of these

Text Solution

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The correct Answer is:
d
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FIITJEE-TRIGONOMETIC EQUATIONS -ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL 1)
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  2. The greatest possible value of the expression tan (x+2pi)/(3)-tan(x+(p...

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  3. cos^(-1)\ (cos(2\ cot^(-1)\ (sqrt(2)-1)))

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  4. All the pairs (x, y) that satisfy the inequality 2 sqrt(sin^(2) x - ...

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  5. If (1-tan theta)(1+tan theta)sec^2 theta+2^(tan^2 theta)=0 then in the...

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  6. Number of solution of the equation 4sin^(2)x+tan^(2)x+cot^(2)x+cosec^(...

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  7. The number of solutions of the equation 16(sin^(5)x +cos^(5)x)=11(sin ...

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  8. The number of values of x in the interval [0,5pi] satisfying the equat...

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  10. a in N, a <=100}, and [tan^2 x] -tan x- a=0 has a real roots (where, [...

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  12. The real roots of the equation cos^7x+sin^4x=1 in the interval (-pi,pi...

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  13. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/(2) then the value of x^(100)+y...

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  14. The number of solutions of the equation [y+[y]]=2 cosx, where y=(1)...

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  17. Solve the inequality sin2x gtsqrt(2)sin^2x+(2-sqrt(2))cos^2x

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

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  19. "tan"|x| = |"tan" x|, if

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  20. If cos 3A +cos 3B+cos 3C=1 then one of the angles of the triangle ABC ...

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