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cos(tan^(-1)((1)/(3))+tan^(-1)((1)/(2)))...

`cos(tan^(-1)((1)/(3))+tan^(-1)((1)/(2)))=`

A

`(1)/(sqrt(2))`

B

`(sqrt(3))/(2)`

C

`(1)/(2)`

D

`(pi)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
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TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Critical Thinking
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  3. cos(tan^(-1)((1)/(3))+tan^(-1)((1)/(2)))=

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  4. cos^-1(4/5)+tan^-1(3/5)=tan^-1(27/11)

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  5. If "tan"^(-1)(x-1)/(x-2)+"tan"^(-1)(x+1)/(x+2)=(pi)/4, find x

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  6. cot^-1[(cot)^(1/2)]+tan^-1[(cotalpha)^(1/2)=x then sin x= (A) 1 (B) co...

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  8. Q. the value of tan^-1(a/(b+c))+tan^-1(b/(c+a)), if /=90^@ in triangle...

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  9. सिद्ध कीजिए - tan^(-1).(3)/(4)+tan^(-1).(3)/(5)-tan^(-1).(8)/(19)=(p...

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  10. If x^2 + y^2 + z^2 = r^2 and x, y, z > 0, then tan^-1((xy)/(zr))+tan...

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  11. If cj >0 for i=1,2, , n , prove that tan^(-1)((c1x-y)/(c1y+x))+tan^(-...

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  12. If a1, a2,a3, ,an is an A.P. with common difference d , then prove th...

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  13. tan[2tan^(- 1)(1/5)+pi/4]

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  14. sin[3sin^(-1)((1)/(5))] is equal to

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  15. The value of cot[cos^(-1)(7/25)] is

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  16. If cos(2sin^(-1)x)=1/9, then find the values of xdot

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  17. Find the value of expression: sin(2tan^(-1)1/3)+cos(tan^(-1)2sqrt(2))

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  18. If: tan^(-1)x = sin^(-1)(3/sqrt(10)), then: x=

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  19. If we consider only the principal values then the value inverse trigon...

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  20. sin^(-1)""1/sqrt5+cot^(-1)3=pi/4

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