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If -1lt=x , ylt=1 such that sin^(-1)x+si...

If `-1lt=x` , `ylt=1` such that `sin^(-1)x+sin^(-1)y=pi/2` , find the value of `cos^(-1)x+cos^(-1)y` .

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RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Evaluate: sin{sin^(-1)(-(3)/5)+cot^(-1)(-5/(12))}

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  2. Find the value of cot(tan^(-1)a+cot^(-1)a)

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  3. If -1lt=x , ylt=1 such that sin^(-1)x+sin^(-1)y=pi/2 , find the value ...

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  4. If tan^(-1)x+tan^(-1)y=(4pi)/5, find cot^(-1)x+cot^(-1)ydot

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  5. If tan^(-1)x-cot^(-1)x=tan^(-1)1/(sqrt(3)) find the value of xdot

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  6. If sin(cos^(-1)5/(13)+sin^(-1)x)=1 find the value of xdot

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  7. If "sin"(sin^(-1)\ 1/5+cos^(-1)x)=1, then find the value of xdot

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  8. If cos(sin^(-1)(2/5)+cos^(-1)x)=0 find the value of xdot

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  9. Evaluate : cos(2cos^(-1)x+sin^(-1)x)  a t&nbspx=1/5

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  10. If (tan^(-1) x)^2 + (cot^(-1) x)^2 = (5pi^2)/8 then x equals

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  11. Prove that tan(cot^(-1)x)=cot(tan^(-1)x)

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  12. Find the greatest and least values of (sin^(-1) x)^2+(cos^(-1)x)^2

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  13. Find the maximum and minimum values of (sin^(-1)x)^3+(cos^(-1)x)^3, wh...

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  14. Evaluate: (i) cot(sin^(-1)(3/4)+sec^(-1)(4/3)) (ii) sin(tan^(-1)x+tan^...

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  15. Evaluate: (i) cot(tan^(-1)a+cot^(-1)a)

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

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  17. If -1lt=x , ylt=1 such that sin^(-1)x+sin^(-1)y=pi/2, find the value o...

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  18. If sin^(-1)x+sin^(-1)y=pi/3 and cos^(-1)x-cos^(-1)y=pi/6 , find the va...

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  19. If cos(cos^(-1)3/5+sin^(-1)x)=0 , find the values of xdot

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  20. If (sin^(-1)x)^2+(cos^(-1)x)^2=(17pi^2)/(36) , find x

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