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Find the value of cos^(-1) ((1)/(2)) + t...

Find the value of `cos^(-1) ((1)/(2)) + tan^(-1) ((1)/(sqrt(3)))`

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The correct Answer is:
`(pi)/(2)`
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-TRIGONOMETRIC FUNCTIONS
  1. In Delta ABC, prove that (b - c)^(2) cos^(2) ((A)/(2)) + (b + c)^(2) s...

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  2. The principal solution of sinx=(-1)/(2) is

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

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  4. In triangleABC, if a=13, b=14, c=15, then cosB=

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  5. In Delta ABC, if (cos A)/(a) = (cos B)/(b), then show that it is an is...

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  6. The principal solution tanx=-sqrt(3) is

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  7. Evaluate cos [(pi)/(6) + cos^(-1) (-(sqrt(3))/(2))]

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  8. If a cos A = b cos B, prove that the Delta ABC is either isosceles o...

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  9. In DeltaABC, prove that (cos 2A)/(a^(2))-(cos 2C)/(c^(2)) = (1)/(a^(2)...

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  10. If tan^(-1) x + tan^(-1)y + tan^(-1)z = pi show that : 1/(xy) + 1/(y...

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  11. Prove that: sin{tan^(-1)(1-x^2)/(2x)+cos^(-1)(1-x^2)/(1+x^2)}=1

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  12. If in a triangleA B C , (2cosA)/a+(cos B)/b+(2cosC)/c=a/(b c)+b/(c a) ...

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  13. In any DeltaABC, prove that : (a-b)/c = (sin, (A-B)/2)/(cos,C/2)

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  14. If the angles A,B,C of /\ABC are in A.P., and its sides a, b, c are in...

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  15. Prove that cot^(-1) 7 + 2 cot^(-1)3 = pi/4

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  16. In any triangle A B C , prove that following: \ (cos^2B-cos^2C)/(b+c)+...

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  17. Show that : sin^(-1) 3/5 + sin^(-1) 8/17 = cos^(-1) 36/85.

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  18. In DeltaABC, prove that (a^(2)sin (B-C))/(sin A) + (b^(2) sin (C-A))/(...

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  19. In DeltaABC, prove that (b^(2)-c^(2))/(a)cos A + (c^(2)-a^(2))/(b)cos ...

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  20. Prove that 2 tan^(-1) ((1)/(8)) + tan^(-1) ((1)/(7)) + 2 tan^(-1) ((1)...

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