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cot (sin ^(-1)""(1)/(sqrt(5))+sin ^(-1)...

`cot (sin ^(-1)""(1)/(sqrt(5))+sin ^(-1)""(2)/(sqrt(5)))`

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cos^(-1)""(2)/(sqrt(5))+sin ^(-1)""(1)/(sqrt(10))=(pi)/(4)

sin ^(-1) "" (1)/(sqrt(5))+cot ^(-1) 3= (pi)/(4)

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solve : sin ^(-1) ""((x)/(sqrt(1+x^(2))))-sin ^(-1)((1)/(sqrt(1+x^(2))))= sin ^(-1) ((1+x)/(1+x^(2)))

sin sin^(-1)""(-(sqrt(3))/(2))

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sin ^(-1)sqrt(3)x+sin ^(-1)x=(pi)/(2)

sin cos^(-1) ""((-sqrt(3))/(2))

The value of alpha such that sin^(-1)2/(sqrt(5)),sin^(-1)3/(sqrt(10)),sin^(-1)alpha are the angles of a triangle is (-1)/(sqrt(2)) (b) 1/2 (c) 1/(sqrt(3)) (d) 1/(sqrt(2))

show that sin ^(-1)""(4)/(5) +sin ^(-1)""(5)/(13) +sin ^(-1)""(16)/(65) =(pi)/(2)

CHHAYA PUBLICATION-TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS-Very short answer type Questions
  1. cos ( sin ^(-1) ""(1)/(2) +sec^(-1)2)

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  2. sin^(-1)""((3)/(5))+"cosec"^(-1)""((5)/(4))

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  3. cot (sin ^(-1)""(1)/(sqrt(5))+sin ^(-1)""(2)/(sqrt(5)))

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  4. cos^(-1) ""(cos"" (7pi )/(6))

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  5. sin^(-1)(sin ""(3pi)/(5))

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  6. Express each of the following in terms of other inverse circular ...

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  7. Express each of the following in terms of other inverse circular ...

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  8. tan ^(-1) "" (1)/(2) + tan ^(-1) "" (2)/(11) = tan ^(-1)""(3)/(4)

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  9. cos ^(-1)"" (1)/(sqrt(5))+ cos ^(-1) ""(2)/(sqrt(5))=(pi)/(2)

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  10. 2 tan ^(-1) ""(1)/(2) = tan^(-1) ""(4) /(3)

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  11. 2 tan ^(-1) ""(1)/(5)+tan^(-1)"" (1)/(8)= tan ^(-1) ""(4)/(7)

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  12. sin ^(-1) ""(3)/(5) + sin ^(-1)""(8)/(17) = sin ^(-1)""(77)/(85)

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  13. cos^(-1) ""(15)/(17) + cos ^(-1)""(3)/(5)= cos ^(-1) ""(13)/(85)

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  14. tan ^(-1)"" a+ cot ^(-1)""b=cot ^(-1) ""(b-a)/(1+ab)

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  15. 4(cot ^(-1)3+"cosec"^(-1) sqrt(5))=pi

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  16. sin ^(-1) "" (1)/(sqrt(5))+cot ^(-1) 3= (pi)/(4)

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  17. tan ^(-1) ""sqrt(x) =(1)/(2) cos^(-1) ""(1-x)/(1+x) , 0 le x le 1

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  18. sec^(2) ( tan ^(-1)3) + "coses"^(2) (cot ^(-1) 4) = 27

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  19. sec^(2) ( cot ^(-1) 2) + "cosec"^(2) (tan ^(-1)3)=2""(13)/(36)

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  20. if two angles of a triangle are tan ^(-1)""(1)/(2) and tan^(-1...

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