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Show that sin^(- 1)(sin(3pi)/7)+cos^(- 1...

Show that `sin^(- 1)(sin(3pi)/7)+cos^(- 1)(cos(46pi)/7)+tan^-1(-tan(13pi)/8)+cot^-1(cot(-(19pi)/8))=(13pi)/7`

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Explore conceptually related problems

If sin^(-1)(sin.(33pi)/(7))+cos^(-1)(cos.(46pi)/(7)) +tan^(-1)(-tan.(13pi)/(8))+cot^(-1)(-cot.(19pi)/(8))=(api)/(b) , where a and b are constant, then (a+b) is equal to

cos^(-1)(sin((pi)/(7)))

The value of sin^(-1)(sin((47 pi)/(7)))+cos^(-1)cos((60 pi)/(7))+tan^(-1)(-(tan)(29 pi)/(8))+cot^(-1)(cot(-(35 pi)/(8)))

cot^(-1)(cot((-46 pi)/(7)))

Show that sin ^ (- 1) ((sin (3 pi)) / (7)) + cos ^ (- 1) ((cos (46 pi)) / (7)) + tan ^ (- 1) (- (tan (13 pi)) / (8)) + cot ^ (- 1) (cot (- (19 pi) / (8))) = (13 pi) / (7)

Find the value of tan^(-1) (-tan.(13pi)/(8)) + cot^(-1) (-cot((9pi)/(8)))

The value of (1)/(pi){216sin^(-1)(sin(7 pi/6))+27cos^(-1)(cos(2 pi/3))+28tan^(-1)(tan(5 pi/4))+200cot^(-1)(cot(-(pi/4)))} must be Q

Evaluate the following: sin^(-1)(sin(pi)/(4)) (ii) cos^(-1)(cos2(pi)/(3))tan^(-1)(tan(pi)/(3))

sin ^ (- 1) sin ((23 pi) / (7)) + cos ^ (- 1) cos ((39 pi) / (7))

MOTION-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise -3
  1. Solve the following equations/system of equations sin^(-1) x+sin^(-1...

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  2. if cos^(-1)((1-a^2)/(1+a^2)) - cos^(-1)((1-b^2)/(1+b^2)) = 2tan^(-1)x ...

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  3. Show that sin^(- 1)(sin(3pi)/7)+cos^(- 1)(cos(46pi)/7)+tan^-1(-tan(13p...

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  4. Let the domain and range of inverse circular functions are defined as ...

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  5. Solve sin^(-1) x gt -1

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  6. Solve the following inequalities cos^(-1) x lt 2

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  7. Solve the following inequality: cot^(-1)xlt -sqrt(3)

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  8. Solve the inequality: (arc secx)^2-6(arc secx)+ 8> 0

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  9. Solve the following inequality: arc cot^(2)x-5 at cotx+6gt0

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  10. Solve the following inequalities arc sin x gt arc cos x

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  11. Solve the following inequalities tan^(2) (arc sin x)gt 1

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  12. Solve the following system of inequations: 4(tan^(-1)x)^2-8tan^(-1)x+3...

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  13. Solve for x : sin^(- 1)(sin((2x^2+4)/(1+x^2)))lt pi-3

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  14. The sum of the infinte series sin^(-1)(1/sqrt(2))+sin^(-1)((sqrt(2)-1)...

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  15. Find the sum of the series :(tan^- 1)1/3+(tan^- 1)2/9+....+(tan^- 1)(2...

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  16. Find the sum of the series cot^(-1) 7+cot^(-1)13+cot^(-1)21+cot^(-1)...

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  17. Find the sum of each of the following series :(i) tan^-1(1/(x^2+x+1))+...

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  18. Find the sum of the series tan^(-1) 1/2+tan^(-1) 1/8+tan^(-1) 1/18+t...

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  19. If the sum sum(n=1)^10 sum(m=1)^10 tan^(-1) (m/n) = k pi, find the va...

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  20. Find the value of tan { 1/2 sin^(-1) ((2x)/(1+x^(2))) + 1/2 cos^(-1...

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