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Evaluate: cos{sin^(-1)(-7/(25))} (i...

Evaluate: `cos{sin^(-1)(-7/(25))}` (ii)`sec{cot^(-1)(-5/(12))}` (iii) `cot{sec^(-1)(-(13)/5)}`

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Evaluate: cos{sin^(-1)(-7/(25))} (ii) sec{cot^(-1)(-5/(12))} cot{sec^(-1)(-(13)/5)}

Evaluate: cos{sin^(-1)(-5/(13))} (ii) cot{sin^(-1)(-7/(25))}

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Evaluate: cot{sec^(-1)(-(13)/5)}

Evaluate: sin{tan^(-1)(7/(24))} (ii) cos{cot^(-1)(5/(12))}

Evaluate: (i) tan{cos^(-1)(-7/(25))} (ii) "c o s e c"{cot^(-1)(-(12)/5)} cos{tan^(-1)(-3/4)}

Evaluate: (i) sin{cos^(-1)(-3/5)} (ii) tan{cos^(-1)(-(12)/(13))}

Evaluate: cos(sin^(-1)3/5+sin^(-1)5/(13))

Evaluate each of the following: sin(sin^(-1)7/(25)) (ii) sin(cos^(-1)5/(13)) (iii) sin(tan^(-1)(24)/7)

Find the principal values of the following : (i) sin^(-1)(sqrt(-3/2)) (ii) cot^(-1)(-sqrt(3)) (iii) cos^(-1)(-1(1)/(2)) (iv) sec^(-1)(-(2)/sqrt(3)) (v) tan^(-1)(-1) (vi) cosec ^(-1)(-1) .

RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Prove that: sin^(-1)(-4/5)=tan^(-1)(-4/3)=cos^(-1)(-3/5)-pi

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  2. Prove that: tan^(-1)x+tan^(-1)1/x={pi/2,ifx >0, -pi/2 if x<0

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  3. Evaluate: cos{sin^(-1)(-7/(25))} (ii)sec{cot^(-1)(-5/(12))} (iii)...

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  4. Evaluate: cot{sec^(-1)(-(13)/5)}

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  5. Evaluate: (i) tan{cos^(-1)(-7/(25))} (ii) "c o s e c"{cot^(-1)(-(12...

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  6. Evaluate: sin{sin^(-1)(-(3)/5)+cot^(-1)(-5/(12))}

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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