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|["cos"70^(@), "sin"20^(@)], ["sin"70^(@...

`|["cos"70^(@), "sin"20^(@)], ["sin"70^(@), "cos"20^(@)]|=?`

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cos70^(@)+sin40^(@)=

Find the distance between (a " sin "70^(@),-a" sin "20^(@)) and (-a" sin "70^(@),a" sin "20^(@)) .

cos110^(@)+sin20=

sec70^(@)sin20^(@)+cos20^(@)"cosec"70^(@)=?

"sin" 10^(@)+"sin" 20^(@)+"sin" 40^(@)+"sin" 50^(@)="sin" 70^(@)+"sin" 80^(@) .

The value of (sin 20^(@)cos70^(@)+ cos20^(@)sin70^(@))/(sin23^(@)"cosec"23^(@)+cos23^(@)sec23^(@)) is _________.

Prove that (i) " sin " 80^(@) "cos " 20^(@) - " cos " 80^(@) " sin " 20^(@) =(sqrt(3))/(2) (ii) " cos " 45^(@) " cos " 15^(@) - " sin " 45^(@) " sin " 15^(@) = (1)/(2) (iii) " cos " 75^(@) " cos " 15^(@) + " sin " 75^(@) " sin " 15^(2)= (1)/(2) (iv) " sin " 40^(@) " cos " 20^(@) " + cos " 40^(@) " sin " 20^(@) =(sqrt(3))/(2) (v) " cos " 130^(@) " cos " 40^(@) l + " sin " 130^(@) " sin " 40^(@) =0

(2cos40^(@)-cos20^(@))/(sin20^(@))

(2cos40^(@)-cos20^(@))/(sin20^(@))

sin 10^(@)+sin 20^(@) + sin 40 ^(@) + sin 50 = A) sin 15^(@) +sin 75^(@) B) cos 15^(@) + cos75^(@) C) sin 70^(@) + sin 80^(@) D) cos 70^(@) + cos 80^(@)

MODERN PUBLICATION-DETERMINANTS-OBJECTIVE TYPE QUESTIONS (Very short answer type question)
  1. Evaluate : |{:(2,4),(-1,2):}|

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  2. Evaluate : |{:(-2,3),(4,-9):}|

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  3. |["cos"70^(@), "sin"20^(@)], ["sin"70^(@), "cos"20^(@)]|=?

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  4. Evaluate |["cos" 15^(@), "sin"15^(@)],["sin" 75^(@), "cos"75^(@)]|

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  5. Evaluate : |{:(costheta,-sintheta),(sintheta,costheta):}|

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  6. Evaluate : |{:(x,x+1),(x-1,x):}|

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  7. |(x^(2)-x+1, x-1),(x+1,x+1)|

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  8. If A is a3x3 matrix, |A| != 0 and |3A|=k|A| , then write the value of ...

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  9. Let A be a square matric of order 3\ xx\ 3 . Write the value of 2A ...

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  10. If A and B are square matrices of same order 3 , such that |A|=2 and A...

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  11. Find the co-factor of the element a(23) of the determinant |{:(5,3,5),...

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  12. Write the minor of 6 in |{:(1,2,3),(4,5,6),(7,8,9):}|

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  13. Write the co-factor of 7 in |{:(4,5,6),(5,6,7),(13,15,17):}|

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  14. For what value of x , is the following matrix singular ? [(3-2x,x+1)...

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  15. For what value of x , the matrix [5-xx+1 2 4] is singular?

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  16. For what value of 'x' the matrix [{:(2-x,3),(-5,-1):}] is not invertib...

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  17. Find the adjoint of the following matrices : [{:(2,-1),(4,3):}]

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  18. Find the adjoint of each of the matrices in questions 1 and 2. [{:(1...

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  19. Find the adjoint of the following matrices : [{:(2,3),(1,4):}]

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  20. If A=[{:(3,1),(2,-3):}], then find |adj.A|.

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