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sin^(-1)(sin 3) + sin^(-1) ( sin 4) + si...

`sin^(-1)(sin 3) + sin^(-1) ( sin 4) + sin^(-1) ( sin 5) ` when simplified reduces to

A

an odd number

B

a rational number

C

an even prime

D

a negative integer

Text Solution

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The correct Answer is:
B, D
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ARIHANT MATHS-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (More Than One Correct Option Type Questions)
  1. Let theta = tan^(-1) ( tan . (5pi)/4) " and " phi = tan^(-1) ( - tan ...

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  2. Let f(x)=e^cos^((-1)){sin(x+pi/3)}dot Then, f((8pi)/9)= e^(5pi//18) ...

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  3. The value of tan[cos^(-1)(4/5)+tan^(-1)(2/3)] is 6/(17) (b) 7/(16) (...

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  4. Let f(x) = sin^(-1) x + cos^(-1) x ". Then " pi/2 is equal to

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  5. cos^(-1)x=tan^(-1)x then

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  6. The solution of sin^(-1)|sin x|=sqrt(sin^(-1)|sin x|) is (a)npi -1" ...

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  7. Find the value of trigonometric function tan((22pi)/3)

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  8. Indicate the relation which can hold in their respective domain for in...

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  9. To the equation 2^(2pi//cos^(-1)x) - (a + (1)/(2)) 2^(pi/cos^(-1)x) -a...

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  10. sin^(-1)(sin 3) + sin^(-1) ( sin 4) + sin^(-1) ( sin 5) when simplif...

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  11. If cos^(-1) x + cos^(-1) y + cos^(-1) z = pi , then find sin^(-1) x...

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  12. 2"tan"(tan^(-1)(x)+tan^(-1)(x^3)),w h e r ex in R-{-1,1}, is equal to

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  13. Let f(x) = sin^(-1)|sin x| + cos^(-1)( cos x) . Which of the following...

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  14. If f(x) = sin^(-1) x. cos^(-1) x. tan^(-1) x . cot^(-1) x. sec^(-1) x....

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  15. Prove that sin2x + sin8x = 2sin5x cos3x

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  16. Let function f(x) be defined as f(x) = |sin^(-1)x| + cos^(-1) (1/x)...

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  17. Which of the following pairs of function are identical?

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  18. The value of Sigma(n=1)^(infty) cot^(-1) ( n^(2) + n +1) is also equa...

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  19. Find the multiplicative inverse of the complex number 7 + 3i

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  20. If log x = (-1)/3 , " and " Fi n d log ( sin ( arc cos sqrt(1 - x^(...

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