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For the principal values, evaluate the f...

For the principal values, evaluate the following: `cot^(-1)(-1)+cos e c^(-1)(-sqrt(2))+s e c s^(-1)(2)`

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For the principal values, evaluate the following: (1) cot^(-1)(-1)+cos e c^(-1)(-sqrt(2))+s e c ^(-1)(2) (2) cot^(-1)(-sqrt(3))+tan^(-1)(1)+sec^(-1)(2/(sqrt(3)))

For the principal values, evaluate the following: (i) cot^(-1)(-1)+cosec^(-1)(-sqrt(2))+s e c ^(-1)(2) (ii) cot^(-1)(-sqrt(3))+tan^(-1)(1)+sec^(-1)(2/(sqrt(3)))

For the principal values, evaluate the following: sin^(-1)(-(sqrt(3))/2)+cos e c^(-1)(-2/(sqrt(3))) sec^(-1)(sqrt(2))+2cos e c^(-1)(-sqrt(2)) sin^(-1)[cos{2cos e c^(-1)(-2)}] cos e c^(-1)(2tan(11pi)/6)

For the principal values, evaluate the following: sin^(-1)(-(sqrt(3))/2)+cos e c^(-1)(-2/(sqrt(3))) sec^(-1)(sqrt(2))+2cos e c^(-1)(-sqrt(2)) sin^(-1)[cos{2cos e c^(-1)(-2)}] cos e c^(-1)(2tan(11pi)/6)

For the principal values, evaluate the following: sin^(-1)(-(sqrt(3))/2)+cos e c^(-1)(-2/(sqrt(3)))

For the principal values, evaluate each of the following: tan^(-1)sqrt(3)-sec^(-1)(-2)+cos e c^(-1)2/(sqrt(3)) 2sec^(-1)(2)-2cos e c^(-1)(-2)

Find the principal values of each of the following: (i) "c o s e c"^(-1)(-sqrt(2)) (ii) "c o s e c"^(-1)(-2)

For the principal values, evaluate each of the following : (i) sin^(-1)(-1/2)+2cos^(-1)(-(sqrt(3))/2) (ii) sin^(-1)(-(sqrt(3))/2)+cos^(-1)((sqrt(3))/2)

Find the principal values of each of the following: cot^(-1)(sqrt(3))

Find the principal values of each of the following: cot^(-1)(-sqrt(3)) (ii) cot^(-1)(sqrt(3))

RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Write the following functions in the simplest form: tan^(-1){x/(sqrt...

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  2. Evaluate each of the following: cot^(-1)(1/(sqrt(3)))-cos e c^(-1)(-2)...

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  3. For the principal values, evaluate the following: cot^(-1)(-1)+cos e ...

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  4. Prove that: (i)tan^(-1){(sqrt(1+cosx)+sqrt(1-cosx))/(sqrt(1+cosx)-sqr...

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  5. Evaluate each of the following: sin^(-1)(sinpi/3) (ii) cos^(-1)(cos(2...

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  6. If cos e c^(-1)x+cos e c^(-1)y+cos e c^(-1)z=-(3pi)/2, find the value ...

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  7. For the principal values, evaluate the following: tan^(-1)sqrt(3)-se...

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  8. Find the principal values of cot^(-1)sqrt(3) and cot^(-1)(-1)

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  9. For the principal values, evaluate the following: sin^(-1)(-(sqrt(3))...

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  10. The value of tan{cos^(-1)1/(5sqrt(2))-sin^(-1)4/(sqrt(17))} is (sqrt(2...

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  11. sin(cot^(-1)(tan(cos^(-1)x))) is equal to a) x b) sqrt(1-x^2) c) 1/x d...

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  12. Write the value of tan^(-1){2sin(2cos^(-1)(sqrt(3))/2)}dot

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  13. Write the principal value of cos^(-1)(cos680^0)dot

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  14. What is the principal value of sin^(-1)(-(sqrt(2))/2)?

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  15. Write the principal value of cos^(-1)(cos((2pi)/3))+sin^(-1)(sin((2pi)...

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  16. Find x if tan^(-1)(sqrt(3))+cot^(-1)x=pi/2

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  17. If sin^(-1)(1/3)+cos^(-1)x=pi/2,then find x

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  18. Write the value of 2sin^(-1)\ 1/2+cos^(-1)((a-b)/(a+b))

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  19. Evaluate: sin^(-1)(sin((3pi)/5))

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  20. If (tan^(-1)x)^2+(cot^(-1)x)^2=(5pi^2)/8, then find xdot

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