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Prove that , tan^(-1)(cotx)+cot^(-1) (ta...

Prove that , tan^(-1)(cotx)+cot^(-1) (tan x) = pi-2x

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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. If the equation sin^(-1)(x^2+x+1)+cos^(-1)(lambda+1)=pi/2 has exactly ...

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  2. sin{2(sin^(-1)(sqrt(5))/3-cos^(-1)(sqrt(5))/3)} is equal to (ksqrt(5)...

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  3. The number of solutions of "cos"(2sin^(-1)("cot"(tan^(-1)(sec(6cos e c...

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  4. If x, y, z are in A.P. and tan^(-1) x, tan^(-1) y and tan^(-1)z are al...

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  5. Let tan^(-1)y=tan^(-1)x+tan^(-1)((2x)/(1-x^2)) , where |x|<1/(sqrt(3))...

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  6. The value of sum(i=1)^(13) (n^(n) + i^(n-1)) is

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  7. about to only mathematics

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  8. For any positive integer n , define fn :(0,oo)rarrR as fn(x)=sum(j=1...

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  9. Match the following:

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  10. Match list I with list II and select the correct answer using the code...

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  11. Match the List-I and List-II using the correct code given below the li...

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  12. Let f:[0,4pi]vec[0,pi] be defined by f(x)=cos^(-1)(cosx)dot The number...

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  13. The number of real solution of the equation sin^(-1) (sum(i=1)^(oo) ...

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  14. If alpha and beta are the two zeroes of the equation 3 cos ^-1(...

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  15. If log 2 x gt 0 then the absolute value of log 1/pi(sin ^-1 (2 x)/(...

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

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  17. Total number of ordered pairs (x, y) satisfying Iyl=cosxandy=sin−1(sin...

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  18. If the equation sin^(-1)(x^2+x+1)+cos^(-1)(lambda+1)=pi/2 has exactly ...

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  19. Number of values of x satisfying the equation cos ^-1(x^2-.5 x+6)=...

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  20. Prove that , tan^(-1)(cotx)+cot^(-1) (tan x) = pi-2x

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