tan54° can be expressed as  from Ma

Subject

Mathematics

Class

NDA Class 12

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Sample Papers

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 Multiple Choice QuestionsMultiple Choice Questions

1.

What is the value of sin34°cos236° - sin56°sin124°cos28°cos88° + cos178°sin208° = ?

  •  - 2

  •  - 1

  • 2

  • 1


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2.

tan54° can be expressed as 

  • sin9° + cos9°sin9° - cos9°

  • sin9° - cos9°sin9° + cos9°

  • cos9° + sin9°cos9° - sin9°

  • sin36°cos36°


C.

cos9° + sin9°cos9° - sin9°

tan54° = tan45° + 9°= tan45° + tan9°1 - tan45°tan9°= 1 + tan9°1 - tan9°= 1 + sin9°cos9°1 - sin9°cos9°= cos9° + sin9°cos9° - sin9° 


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3.

If p = Xcosθ - Ysinθ, q = Xsinθ + Ycosθ and p2 + 4pq + q2 = AX2 + BY20  θ  π2. What is the value of θ ?

  • π2

  • π3

  • π4

  • π6


4.

If p = Xcosθ - Ysinθ, q = Xsinθ + Ycosθ and p2 + 4pq + q2 = AX2 + BY2, 0  θ  π2

What is the value of A ?

  • 4

  • 3

  • 2

  • 1


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5.

If p = Xcosθ - Ysinθ, q = Xsinθ + Ycosθ and p2 + 4pq + q2 = AX2 + BY2, 0  θ  π2

  • -1

  • 0

  • 1

  • 2


6.

It  is given that cosθ - α = a, cosθ - β = bWhat is cosα - β = ? 

  • ab + 1 - a21 - b2

  • ab - 1 - a21 - b2

  • a1 - b2 - b1 - a2

  • a1 - b2 + b1 - a2


7.

It is given that cosθ - α = a, cosθ - β = b. What is sin2α - β + 2abcosα - β = ?

  • a2 + b2

  • a2 - b2

  • b2 - a2

  • - (a2 + b2)


8.

If sinα + cosα = p, then what is cos22α = ?

  • p2

  • p2 - 1

  • p22 - p2

  • p2 + 1


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9.

What s the value of sin-145 + sec-154 - π2 = ?

  • π4

  • π2

  • π

  • 0


10.

If sin-12p1 + p2 - cos-11 - q21 + q2 = tan-12x1 - x2, then what is x = ?

  • p + q1 + pq

  • p - q1 + pq

  • pq1 + pq

  • p + q1 - pq


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