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Evaluate the following (i) sin ( pi/2 ...

Evaluate the following
`(i) sin ( pi/2 - sin^(-1) ( (-1)/2))`
(ii) ` sin(pi/2 - sin^(-1)(- sqrt3/2))`

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ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Evaluate the following expression: sin("cos"^(-1)3/5)

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  2. Evaluate cos[tan^(-1)(3/4)].

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  3. Evaluate the following (i) sin ( pi/2 - sin^(-1) ( (-1)/2)) (ii) ...

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  4. The value of sin^(-1)(-sqrt3/2)+cos^(-1)(cos\ (7pi)/6) is a. (5pi)/6 b...

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  5. Evaluate the following: sin^(-1)(sin\ pi/4)

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  6. Evaluate the following: cos^(-1)(cos((7pi)/6))

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  7. Evaluate the following: sin^(-1)(sin\ pi//4)

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  8. Evaluate the following: sin^(-1)(s in 10) (ii) sin^(-1)(sin5) cos^(-...

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  9. Evaluate the following: cos^(-1)(cos10) (ii) tan^(-1){tan(-6)}

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  10. Evaluate the following: cos^(-1)(cos4)

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  11. prove that sec^(2)(tan^(-1)2)+cosec^2(cot^(-1)3)=15

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  12. Find the number of solutions of (x ,\ y) which satisfy |y|=cosx\ a n d...

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

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  14. Prove that: tan^(-1)(1/7)+tan^(-1)(1/(13))=tan^(-1)(2/9) tan^(-1)(1...

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  15. Prove that : tan^(-1)(1/5)+tan^(-1)(1/7)+tan^(-1)(1/3)+tan^(-1)(1/8)=p...

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  16. Prove that: sin^(-1)(12)/(13)+cos^(-1)4/5+tan^(-1)(63)/(16)=pi

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  17. Prove that:cos^(-1)(12/13)+sin^(-1)(3/5)=sin^(-1)(56/65)

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  18. If x=cos e c[tan^(-1){"cos"(cot^(-1)(sec(sin^(-1)a)))}] and y="sec"[co...

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  19. Evaluate: (i)tan{2tan^(-1)(1/5)-pi/4} (ii) tan{1/2cos^(-1)(sqrt(5)/3)...

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  20. Evaluate: {(2tan^(-1)1)/5-pi/4} (ii) tan{1/2cos^(-1)(sqrt(5))/3}

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