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If 4\ sin^(-1)x+cos^(-1)x=pi , then what...

If `4\ sin^(-1)x+cos^(-1)x=pi` , then what is the value of `x` ?

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We know that `sin ^(−1) x+cos ^(−1) x= frac{ π}{2}`
`cos^(-1)c=frac{pi}{2}-sin^(-1)x` ...
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RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
  1. If sin^(-1)(1/3)+cos^(-1)x=pi/2,t h e nfin dxdot

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  2. Write the value of sin^(-1)(1/3)-cos^(-1)(-1/3) .

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  3. If 4\ sin^(-1)x+cos^(-1)x=pi , then what is the value of x ?

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  4. If x<0,\ y<0 such that x y=1 , then write the value of tan^(-1)x+ta...

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  5. What is the principal value of sin^(-1)(-(sqrt(3))/2)\ ?

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  6. Find the principal value of: sin^(-1)(-1/2)

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

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  8. Write the value of tan(2tan^(-1)1/5) .

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  9. Write the principal value of tan^(-1)(1)+cos^(-1)(-1/2)

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  10. Write the value of tan^(-1)[2sin(2cos^(-1)(sqrt(3))/2)] .

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  11. Write the principal value of tan^(-1)sqrt((3))-cot^(-1)sqrt((-3)) .

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  12. Write the principal value of cos^(-1)[cos(680^0)]dot

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  13. The value of sin^(-1)(sin'(3pi)/(5)) is "….."

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  14. The value of cos^(-1)(cos'(14pi)/(3)) is "…….."

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  15. Write the value of cos(sin^(-1)x+cos^(-1)x) , |x|lt=1 .

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  16. The value of tan((sin^(-1)x+cos^(-1)x)/(2)), when x = (sqrt(3))/(2), i...

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  17. The principal value of sin^(-1)[cos(sin^(-1)'1/2)] is pi/3.

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  18. Find the set of values of "c o s e c"^(-1)((sqrt(3))/2)

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  19. Write the value of tan^(-1)(1/x) for x<0 in terms of cot^(-1)(x) .

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  20. The value of cot^(-1)(-x) x in R in terms of cot^(-1)x is "…….."

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