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Evaluate: {(2tan^(-1)1)/5-pi/4} (ii) ta...

Evaluate: `{(2tan^(-1)1)/5-pi/4}` (ii) `tan{1/2cos^(-1)(sqrt(5))/3}`

A

`(3-sqrt5)/2`

B

`(3+sqrt5)/2`

C

`(sqrt5-3)/2`

D

`(-sqrt5-3)/2`

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The correct Answer is:
A
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AAKASH INSTITUTE ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS-ASSIGNMENT (SECTION - A)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))
  1. sin(cos^(-1)(3/5)) is equal to

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  2. The numerical value of "tan"(2tan^(-1)(1/5)-pi/4 is equal to

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  3. Evaluate: {(2tan^(-1)1)/5-pi/4} (ii) tan{1/2cos^(-1)(sqrt(5))/3}

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  4. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/2, Then x^2013+y^2013+z^2013-9/...

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  5. Prove the following : sin^(-1)(4/5)+2\ tan^(-1)(1/3)=pi/2

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  6. 1/2tan^(- 1)(12/5) is equal to

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  7. Value of sec^(-1)(sec.(4pi)/3) is

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  8. Find the value of the expression: sin(2\ tan^(-1)1/3)+cos(tan^(-1)...

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  9. Prove that : tan^(-1)1/2+tan^(-1)1/5+tan^(-1)1/8=pi/4

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  10. cos^(-1)(-x),absx le 1, is equal to

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  11. cosec^(-1)(-x),x in R-(-1,1), is equal to

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  12. cot^(-1)(-2) is equal to

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  13. If sin{cot^-1(x+1)}="cos"(tan^(-1)x), then find x

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  14. If sin^(-1)(x-(x^2)/2+(x^3)/4-ddot)+cos^(-1)(x^2-(x^4)/2+(x^6)/4)=pi/2...

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  15. if tan^(-1)(1/x)+cos^(-1)(2/sqrt5)=pi/4 then x equals

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  16. about to only mathematics

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  17. If x1=cos^(-1)(3/5)+cos^(-1)((2sqrt2)/3)and x2=sin^(-1)(3/5)+sin^(-1)(...

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  18. If tan(sin^(-1)sqrt(1-x^2))=sin(tan^(-1)2) then x is

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  19. If 0 le x le 1 then cos^(-1)(2x^(2)-1) equals

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