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Prove the following: 4tan^(-1)1/5-tan^(...

Prove the following: `4tan^(-1)1/5-tan^(-1)1/(70)+tan^(-1)1/(99)=pi/4` `2t a n^(-1)1/5+s e c^(-1)(5sqrt(2))/7+2tan^(-1)1/8=pi/4`

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RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Show that cos^(-1) ((cos alpha+cos beta)/(1+cosalpha cosbeta))=2 tan^(...

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  2. Show taht 2tan^-1(tan(alpha/2)tan(pi/4-beta/2))=tan^-1((sinalphacosbet...

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  3. Prove the following: 4tan^(-1)1/5-tan^(-1)1/(70)+tan^(-1)1/(99)=pi/4 ...

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  4. Evaluate: tan{1/2cos^(-1)(sqrt5/3)}

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  5. sin^(-1)(1-x)-2sin^(-1)x=pi/2 , then x is equal to (A) 0,1/2 (B) 1,1...

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  6. If y=cot^(-1)(sqrt(cos"x"))-tan^(-1)(sqrt(cos"x")), prove that siny=ta...

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  7. Evaluate: tan(2tan^(-1)(1/5))

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  8. Prove that sin^-1[3/5]+sin^-1[4/5]=pi/2

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  9. Show that: cos(2tan^(-1)(1/7))=sin(4tan^(-1)(1/3))

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  10. Find the value of expression: sin(2tan^(-1)(1/3))+cos(tan^(-1)2sqrt(2)...

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  11. Find the principal value of the following: """"" sin^(-1){cos(sin^(...

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  12. If x , y , z in [-1,1] such that sin^(-1)x+sin^(-1)y+sin^(-1)z=-(3pi)/...

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  13. Find the domain of the function f(x)=sin^(-1)sqrt(x-1)

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  14. Find the domain of f(x)=sin^(-1)x+cosxdot

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  15. Find the domain of f(x)=sin^(-1)(-x^2)dot

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  16. Find the domain of the function f(x)=sin^(-1)(2x-3)

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  17. Find the value of sin^(-1)[cos{sin^(-1)(-(sqrt(3))/2)}]

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  18. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/2, find the value of x^2+y^2+z...

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  19. Find the domain of function: f(x)=sin^(-1)sqrt(x^2-1)

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  20. Prove that: 2tan^(-1) {1/2}+tan^(-1) {1/7}=tan^(-1) {(31)/(17)}

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