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If cos^(-1)x + cos^(-1)y - cos^(-1) z = ...

If `cos^(-1)x + cos^(-1)y - cos^(-1) z = 0`, then show that `x^(2) + y^(2) + z^(2) - 2xyz = 1`

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NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-TRIGONOMETRIC FUNCTIONS
  1. Find the value of cos^(-1) ((1)/(2)) + tan^(-1) ((1)/(sqrt(3)))

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. In Delta ABC, if angle A = (pi)/(2), then prove that sin (B - C) = (b^...

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  20. If cos^(-1)x + cos^(-1)y - cos^(-1) z = 0, then show that x^(2) + y^(2...

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