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tan^(-2)tan((3pi)/(4))...

`tan^(-2)tan((3pi)/(4))`

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The correct Answer is:
`-pi/4`
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Explore conceptually related problems

Principal value of tan^(-1)[tan((3pi)/(4))] is

tan^(-1)(tan\ (3pi)/(4))

If alpha=tan^(-1)(tan(5 pi)/(4)) and beta=tan^(-1)(-tan(2 pi)/(3)), then 4 alpha=3 beta(b)3 alpha=4 beta(c)alpha-beta=74 alpha=(3 beta)/(12) none of these

tan^(-1)[ tan(-(3 pi)/(4))]

Principal value of tan^(-1)[tan((3pi)/4)] is

tan x+(tan((pi)/(4))+tan x)/(1-tan((pi)/(4))tan x)=2

tan^(-1)(tan(2 pi/(3)))

tan^(-1)("tan"(2pi)/3)

MODERN PUBLICATION-INVERSE - TRIGONOMETRIC FUNCTIONS-EXERCISE 2 (b) (Short Answer Type Questions)
  1. Write the value of sin^(-1) ( sin. ( 3pi)/5) .

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  2. Find the value of the following : sin^(-1)(sin. (4pi)/5)

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  3. tan^(-2)tan((3pi)/(4))

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  4. Find the value of the following: tan^(-1)(tan(7pi)/6)

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  5. Find the value of the following : tan (2 tan^(-1) . 1/5)

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  6. Evaluate: cos(sec^(-1)x+"c o s e c"^(-1)x) , |x|geq1

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  7. Find the value of the following expression: cot(tan^(-1)a+cot^(-1)a)

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  8. Evaluate (i) sin [(pi/3 - sin^(-1)(-1/2)]

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  9. Prove that : 2 sin^(-1), 3/5 = tan^(-1), 24/7

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  10. Show that: tan(1/2sin^(-1)3/4)=(4\ sqrt(-7))/3

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  11. Prove that : tan^(-1) . 3/5 +tan^(-1). 1/4 = pi/4

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  12. Prove that : cos^(-1) (cos^(2)x - sin^(2)x) = 2x

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  13. Prove that: 3cos^(-1)x=cos^(-1)(4x^3-3x), x in [1/2,1]

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  14. Prove that : sin^(-1) (2x sqrt(1-x^(2)))= 2 sin^(-1) x, - 1/(sqrt(2...

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  15. Prove that : sin^(-1) (2x sqrt(1-x^(2)) ) = 2 sin^(-1) x , -1/(s...

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  16. Prove that : 2sin^(-1). ((2x )/(1+x^(2))), -1 le x lt 1

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  17. Prove that : tan^(-1)((2xsqrt(1-x^(2)))/(1-2x^(2))) =2sin^(- 1)x ...

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  18. Prove that:tan^(-1)sqrt(x)=1/2cos^(-1)((1-x)/(1+x)), x in [0,1]

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  19. Prove that tan^(-1) ((1-sqrt(x))/(1+sqrt(x))) = pi/4 - tan^(-1) sqr...

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  20. Evaluate sin^(-1) . 4/5 + sin^(-1) . 5/13 + sin^(-1) . 16/65

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