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IF tan^-1 2, tan^-1 3 are two angles of ...

IF `tan^-1 2, tan^-1 3` are two angles of a triangle , then the third angle is

A

`75^@`

B

`60^@`

C

`45^@`

D

`90^@`

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-INVERSE CIRCULAR FUNCTIONS -Problem Set (2)(MULTIPLE CHOICE QUESTIONS)
  1. If tan(x+y)=33, and x= tan^(-1)3, then: y=

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  2. overset(3)underset(n=1)Sigma tan^(-1) 1/n =

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  3. IF tan^-1 2, tan^-1 3 are two angles of a triangle , then the third an...

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  4. tan^(-1) ""3/4 + tan^(-1) ""3/5 - tan^(-1) ""8/19=

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  5. Evaluate sin^(-1) . 4/5 + sin^(-1) . 5/13 + sin^(-1) . 16/65

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  6. tan^(-1)5+tan^(-1) 3-cot^(-1) "4/7=

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  7. sin^(-1) ""12/13 + cos^(-1)"" 4/5 tan^(-1) ""63/16=

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  8. Prove that tan^(-1). 1/2 + tan^(-1) . 1/5 + tan^(-1). 1/8 = pi/4

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  9. 2tan^(-1) ""1/5 + sec^(-1) ""(5sqrt2)/7 +2 tan^(-1)"1/8=

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  10. Prove that 4 tan^(-1) . 1/5 - tan^(-1) . 1/70 + tan^(-1) . 1/99 = ...

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  11. 4 tan^(-1)1/5-tan^(-1)1/239 is equal o

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  12. tan^(-1) (1/5) + tan^(-1) (1/7) + tan^(-1) (1/3) + tan^(-1) (1/8) = π/...

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  13. sin[1/2 cot^(-1)"(-3/4)] is equal to

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  14. Find the value of tan ( 1/2 cos ^(-1) . sqrt5/3)

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  15. tan^(-1)((1)/(4))+tan^(-1)((2)/(9)) is equal to :

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  16. cot[cos^(-1)"7/25]=

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  17. sin^(-1)(3/5)+tan^(-1)(1/7)=

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  18. If alpha=sin^(-1)"" 4/5+sin^(-1) ""1/3 and beta=cos^(-1) "" 4/5+cos^(-...

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  19. If cos^(-1)"" p/a+cos^(-1) ""q/b=alpha " then " p^2/a^2 - (2pq)/(ab) c...

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  20. If cos^(-1)x//2+cos^(-1) y//3=theta," prove that "9x^(2)-12xy cos thet...

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