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If alpha=sin^(-1)(cos(sin^(-1)x))a n dbe...

If `alpha=sin^(-1)(cos(sin^(-1)x))a n dbeta=cos^(-1)("sin"(cos^(-1)x)),` then find `tanalphadottanbeta`

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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. The principal value of sin^(-1)(sin((2pi)/3)) is (a)-(2pi)/3 (b) (2pi...

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  2. If sec^(-1)x=cos e c^(-1)y , then find the value of cos^(-1)1/x+cos^(-...

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  3. If alpha=sin^(-1)(cos(sin^(-1)x))a n dbeta=cos^(-1)("sin"(cos^(-1)x)),...

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

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  5. If sin^(-1)x=pi/5,forsom ex in (-1,1), then find the value of cos^(-1)...

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  6. Prove that 2tan^(-1)(cos e ctan^(-1)x-tancot^(-1)x)=tan^(-1)x(x!=0)dot

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  7. Find the value of sin^(-1)(sin5)+cos^(-1)(cos10)+tan^(-1){tan(-6)}+cot...

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  8. Solve sin^(-1)(14)/(|x|)+sin^(-1)(2sqrt(15))/(|x|)=pi/2

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  9. Find the minimum value of (sec^(-1)x)^2+("c o s e c"^(-1)x)^2

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  10. Find the value of lambda for which the four points with position vecto...

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  11. Solve the following in equality sin^(-1)xlt=cos^(-1)xdot

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  12. If 3tan^(-1)(1/(2+sqrt(3)))-tan^(-1)1/x=tan^(-1)1/3, then x is equal...

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  13. The value 2tan^(-1)[sqrt((a-b)/(a+b))tantheta/2] is equal to (a)cos^(-...

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  14. If 1/2sin^(-1)[(3sin2theta)/(5+4cos2theta)]=tan^(-1)x ,t h e nx= (a...

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  15. If cot^(-1)(sqrt(cosalpha))-tan^(-1)(sqrt(cosalpha))=x , then sinx is ...

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  16. The value of tan^(-1)((xcostheta)/(1-xsintheta))-cot^(-1)((costheta)/(...

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  17. tan(pi/4+1/2cos^(-1)x)+tan(pi/4-1/2cos^(-1)x),x!=0, is equal to x (b)...

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  18. The sum of series sec^(-1)sqrt(2)+sec^(-1)(sqrt(10))/3+sec^(-1)(sqrt(5...

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  19. The value of tan^(-1).(4)/(7) + tan^(-1).(4)/(19) + tan^(-1).(4)/(39) ...

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  20. If 3sin^(-1)((2x)/(1+x^2))-4cos^(-1)((1-x^2)/(1+x^2))+2tan^(-1)((2x)/(...

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