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Evaluate: |(cos15^0,sin15^0),(sin75^0,co...

Evaluate: `|(cos15^0,sin15^0),(sin75^0,cos75^0)|`

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Evaluate: |[cos15^@ sin15^@],[sin75^@cos75^@]| .

Evaluate the following determinants: |[x-7, x],[5,x+1]| (ii) |[costheta ,-sintheta],[sintheta,costheta]| |[cos15^0,sin15^0],[sin75^0,cos75^0]| (iv) |[a+i b, c+i d],[-c+i d, a-i b]|

Evaluate the following determinants: |x-7x5x+1| (ii) |costheta-sinthetasinthetacostheta| |cos15^0sin15^0sin75^0cos75^0| (iv) |a+i b c+i d-c+i d a-i b|

Evaluate the following determinants: |x-7x5x+1| (ii) |costheta-sinthetasinthetacostheta| |cos15^0sin15^0sin75^0cos75^0| (iv) |a+i b c+i d-c+i d a-i b|

Evaluate (2cos 40^0-cos 20^0)/(sin 20^0)=

Which of the following number(s) is/are rational? (a) sin15^0 (b) cos15^0 (c) sin15^0cos15^0 (d) sin15^0cos75^0

Evaluate ((cos15^(@)-sin15^(@)+1)/(cos15^(@)+sin15^(@)+1))((1+sin15^(@))/(cos15^(@)))

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Evaluate: sin 15^(@)cos 15^(@)-cos 75^(@)sin75^(@)

Evaluate : (cos 75^(@))/ (sin 15^(@)) + (sin 12^(@))/ (cos 78^(@)) - (cos 18^(@))/ (sin 72^(@))

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Prove that : tan^(-1)(1/2)+tan^(-1)(1/5)+tan^(-1)(1/8)=pi/4dot

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  2. Find the vector and cartesian equations of the line passing through...

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  3. Evaluate: |(cos15^0,sin15^0),(sin75^0,cos75^0)|

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  4. What is the principal value of cos^(-1)cos((2pi)/3)+sin^(-1)sin((2p...

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  5. Let A = {1, 2, 3}, B = {4, 5, 6, 7}and let f = {(1, 4), (2, 5), (3, 6)...

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  6. Evaluate: int(dx)/(sqrt(1-x^2))

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  7. Evaluate: int(a x+b)^3dx

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  8. If a matrix has 5 elements, write all possible orders it can have.

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  9. If A=[[2, 3],[ 5,-2]], write A^(-1) in terms of A

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  10. Using properties of determinants, prove the following: |[1,x,x^2],[...

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  11. Write the projection of the vector hat i- hat j on the vector ha...

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  12. Write the direction-cosines of the line joining the points (1, 0, 0...

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  13. Differentiate the following function with respect to x : (log\ x)^...

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  14. If y=log[x+sqrt(x^2+a^2)\ ] , show that (x^2+a^2)(d^2\ y)/(dx^2)+x(dy)...

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  15. Evaluate: int1^3(x^2+x)dx

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  16. Show that of all the rectangles inscribed in a given fixed circle, ...

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  17. Using integration find the area of the triangular region whose side...

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  18. Find the equation of the plane which contains the line of intersecti...

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  19. Find a unit vector perpendicular to each of the vector vec a+ vec ...

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  20. Find the angle between the following pair of lines: (-x+2)/(-2)=(y-...

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